I came up with 1,050 words:
AH
AI
AL
AN
AR
AS
AT
HA
HI
HO
IN
IS
IT
LA
LI
LO
NA
NO
OH
ON
OP
OR
OS
PA
PI
SH
SI
SO
TA
TI
TO
AIL
AIN
AIR
AIS
AIT
ALP
ALS
ALT
ANI
ANT
APT
ARS
ART
ASH
ASP
ATT
HAH
HAO
HAP
HAS
HAT
HIN
HIP
HIS
HIT
HON
HOP
HOT
INS
ION
ITS
LAP
LAR
LAS
LAT
LIN
LIP
LIS
LIT
LOP
LOT
NAH
NAP
NIL
NIP
NIT
NOH
NOR
NOS
NOT
NTH
OAR
OAT
OHS
OIL
ONS
OPS
OPT
ORA
ORS
ORT
PAH
PAL
PAN
PAP
PAR
PAS
PAT
PHI
PHT
PIA
PIN
PIP
PIS
PIT
POH
POI
POL
POP
POT
PRO
PSI
RAH
RAN
RAP
RAS
RAT
RHO
RIA
RIN
RIP
ROT
SAL
SAP
SAT
SHA
SHH
SIN
SIP
SIR
SIT
SOL
SON
SOP
SOT
SPA
SRI
TAN
TAO
TAP
TAR
TAS
TAT
THO
TIL
TIN
TIP
TIS
TIT
TON
TOP
TOR
TOT
AILS
AINS
AIRN
AIRS
AIRT
AITS
ALIT
ALPS
ALSO
ALTO
ALTS
ANIL
ANIS
ANTI
ANTS
ARIL
ARTS
ATOP
HAHS
HAIL
HAIR
HALO
HALT
HANT
HAPS
HARL
HARP
HART
HASH
HASP
HAST
HATH
HATS
HILA
HILI
HILT
HINS
HINT
HIPS
HISN
HIST
HITS
HOAR
HOLP
HOLS
HOLT
HONS
HOPS
HORA
HORN
HOST
HOTS
ILIA
INIA
INRO
INTI
INTO
IONS
IOTA
IRIS
IRON
LAIN
LAIR
LAPS
LARI
LARS
LASH
LAST
LATH
LATI
LATS
LIAR
LINO
LINS
LINT
LION
LIPS
LIRA
LIRI
LISP
LIST
LITS
LOAN
LOIN
LOPS
LORN
LOST
LOTA
LOTH
LOTI
LOTS
NAIL
NAOI
NAOS
NAPS
NILS
NIPA
NIPS
NISI
NITS
NOIL
NOIR
NORI
NOSH
NOTA
OARS
OAST
OATH
OATS
OHIA
OILS
OPAH
OPAL
OPTS
ORAL
ORTS
OSAR
PAIL
PAIN
PAIR
PALP
PALS
PANS
PANT
PAPS
PARS
PART
PASH
PAST
PATH
PATS
PHAT
PHIS
PHON
PHOT
PIAL
PIAN
PIAS
PILI
PINA
PINS
PINT
PION
PIPS
PIRN
PISH
PISO
PITA
PITH
PITS
PLAN
PLAT
PLOP
PLOT
POIS
POLS
PONS
POPS
PORN
PORT
POSH
POST
POTS
PRAO
PRAT
PROA
PROP
PROS
RAIL
RAIN
RANI
RANT
RAPS
RAPT
RASH
RASP
RATH
RATO
RATS
RHOS
RIAL
RIAS
RINS
RIOT
RIPS
ROAN
ROIL
ROTA
ROTI
ROTL
ROTS
SAIL
SAIN
SALP
SALT
SARI
SATI
SHAH
SHAT
SHIN
SHIP
SHIT
SHOP
SHOT
SHRI
SIAL
SILO
SILT
SINH
SITH
SLAP
SLAT
SLIP
SLIT
SLOP
SLOT
SNAP
SNIP
SNIT
SNOT
SOAP
SOAR
SOIL
SOLA
SOLI
SOPH
SORA
SORI
SORN
SORT
SOTH
SPAN
SPAR
SPAT
SPIN
SPIT
SPOT
STAR
STAT
STIR
STOA
STOP
TAHR
TAIL
TAIN
TALI
TANS
TAOS
TAPS
TARN
TARO
TARP
TARS
TART
TATS
THAN
THAT
THIN
THIO
THIR
THIS
THRO
TILS
TILT
TINS
TINT
TIPI
TIPS
TIRL
TIRO
TITI
TITS
TOIL
TOIT
TOLA
TONS
TOPH
TOPI
TOPS
TORA
TORI
TORN
TORS
TORT
TOSH
TOST
TOTS
TRAP
TRIO
TRIP
TROP
TROT
TSAR
AIOLI
AIRNS
AIRTH
AIRTS
ALIST
ALOIN
ALTHO
ALTOS
ANILS
ANTIS
APHIS
APISH
APORT
APRON
ARILS
ARSON
ASTIR
ATILT
ATRIP
HAILS
HAIRS
HALOS
HALTS
HANTS
HARLS
HARPS
HARSH
HARTS
HILAR
HILTS
HINTS
HIPPO
HOARS
HOIST
HOLTS
HORAH
HORAL
HORAS
HORNS
HORST
HOSTA
INAPT
INTIS
INTRO
IOTAS
IRONS
LAIRS
LAITH
LAPIN
LAPIS
LARIS
LATHI
LATHS
LIARS
LINOS
LINTS
LIONS
LIPIN
LIRAS
LIROT
LITAI
LITAS
LITHO
LOANS
LOATH
LOINS
LORAN
LORIS
LOTAH
LOTAS
NAILS
NARIS
NIHIL
NIPAS
NITRO
NOILS
NOIRS
NOPAL
NORIA
NORIS
NORTH
NOTAL
OATHS
OHIAS
OPAHS
OPALS
OPSIN
ORALS
ORNIS
ORPIN
OSTIA
OTTAR
PAILS
PAINS
PAINT
PAIRS
PALPI
PALPS
PANTO
PANTS
PARIS
PAROL
PARTS
PATHS
PATIN
PATIO
PHIAL
PHONS
PHOTS
PHPHT
PIANO
PIANS
PILAR
PILIS
PILOT
PINAS
PINOT
PINTA
PINTO
PINTS
PIONS
PIPAL
PIPIT
PIRNS
PITAS
PITHS
PITON
PLAIN
PLAIT
PLANS
PLANT
PLASH
PLATS
PLOPS
PLOTS
POINT
POLAR
POLIS
PORNS
PORTS
POSIT
PRAOS
PRATS
PRION
PROAS
PROPS
PROST
PSOAI
RAILS
RAINS
RALPH
RANIS
RANTS
RATIO
RATOS
RHINO
RIALS
RIANT
RIOTS
RISHI
ROANS
ROAST
ROILS
ROSIN
ROTAS
ROTIS
ROTLS
SAINT
SAITH
SALON
SANTO
SAPOR
SARIN
SATIN
SHALT
SHARN
SHARP
SHIRT
SHOAL
SHOAT
SHORL
SHORN
SHORT
SHOTT
SITAR
SLAIN
SLANT
SLIPT
SLOTH
SNAIL
SNARL
SNATH
SNORT
SOLAN
SOLAR
SONAR
SPAHI
SPAIL
SPAIT
SPILT
SPIRT
SPLAT
SPLIT
SPOIL
SPORT
SPRAT
SPRIT
STAIN
STAIR
STAPH
START
STILT
STINT
STIRP
STOAI
STOAT
STOPT
STRAP
STRIA
STRIP
STROP
TAHRS
TAILS
TAINS
TAINT
TALON
TANTO
TAPIR
TAPIS
TARNS
TAROS
TAROT
TARPS
TARSI
TARTS
THINS
THIOL
THIRL
THORN
THORP
THRIP
TILTH
TILTS
TINTS
TIPIS
TIRLS
TIROS
TITAN
TITIS
TOAST
TOILS
TOITS
TOLAN
TOLAS
TONAL
TOPHI
TOPHS
TOPIS
TORAH
TORAS
TORII
TORSI
TORTS
TOTAL
TRAIL
TRAIN
TRAIT
TRANS
TRAPS
TRAPT
TRASH
TRIAL
TRIOL
TRIOS
TRIPS
TROIS
TRONA
TROTH
TROTS
AIOLIS
AIRTHS
ALOINS
AORIST
APRONS
ARIOSI
ARISTO
AROINT
ARSHIN
ARSINO
ARTIST
ATTORN
HARLOT
HARPIN
HATPIN
HIPPOS
HOLIST
HORAHS
INSTAL
INSTAR
INSTIL
INTORT
INTROS
ISATIN
LAPINS
LAPTOP
LATHIS
LATINO
LATISH
LATTIN
LIPINS
LIROTH
LITHIA
LITHOS
LORANS
LOTAHS
NIHILS
NITRIL
NITROS
NOPALS
NORIAS
NORTHS
ORPHAN
ORPINS
OTITIS
OTTARS
PAINTS
PALISH
PANTOS
PAPIST
PARISH
PAROLS
PARSON
PARTON
PASTIL
PASTOR
PATHOS
PATINS
PATIOS
PATOIS
PATROL
PATRON
PHAROS
PHIALS
PHONAL
PIANOS
PILOTS
PINOTS
PINTAS
PINTOS
PIPALS
PIPITS
PISTIL
PISTOL
PISTON
PITONS
PLAINS
PLAINT
PLAITS
PLANTS
PLIANT
PLINTH
POINTS
POISHA
POLARS
POLISH
PONTIL
POPISH
POPLAR
POPLIN
PORTAL
POSTAL
POSTIN
POTASH
PRIAPI
PRINTS
PRIONS
PRISON
PROLAN
PROSIT
PTISAN
RAISIN
RALPHS
RAPHIS
RAPINI
RAPIST
RATION
RATIOS
RATLIN
RATTON
RHINAL
RHINOS
RIALTO
RIPOST
SAILOR
SANTIR
SANTOL
SATORI
SHAIRN
SHANTI
SHORAN
SIPHON
SPILTH
SPINAL
SPINOR
SPINTO
SPIRAL
SPIRIT
SPITAL
SPLINT
SPOILT
SPORAL
SPRAIN
SPRINT
STATOR
STRAIN
STRAIT
STRATH
STRATI
STRIPT
TAHINI
TAHSIL
TAILOR
TAINTS
TALION
TALONS
TANIST
TAPIRS
TAROTS
TARPON
THIOLS
THIRLS
THIRST
THORIA
THORNS
THORPS
THRASH
THRIPS
THROAT
TILTHS
TIPTOP
TITANS
TITIAN
TOLANS
TONISH
TONSIL
TORAHS
TOTALS
TRAILS
TRAINS
TRAITS
TRIALS
TRINAL
TRIOLS
TRIPOS
TRITON
TRONAS
TROPIN
TROTHS
AIRPOST
AIRSHIP
ALPHORN
ALTHORN
ALTOIST
ANTIPOT
APOSTIL
APPOINT
AROINTS
ASPIRIN
ATHIRST
ATROPIN
ATTORNS
HAIRPIN
HAPLONT
HARLOTS
HARPINS
HARPIST
HATPINS
HIPPISH
HIPSHOT
HORNIST
HOTTISH
INTHRAL
INTORTS
INTROIT
IRONIST
LAPTOPS
LATINOS
LATTINS
LIAISON
LITHIAS
NAPHTOL
NITRILS
NOIRISH
NOSTRIL
ORALIST
ORPHANS
PALSHIP
PARSNIP
PARTONS
PATRIOT
PATROLS
PATRONS
PHILTRA
PIANIST
PINITOL
PINTAIL
PLAINTS
PLANISH
PLINTHS
PONTILS
POPLARS
POPLINS
PORTALS
PROLANS
PROTIST
RAPPINI
RATIONS
RATLINS
RATTISH
RATTONS
RIALTOS
RIPSTOP
SHANTIH
SHILPIT
SHIPLAP
SHIPPON
SHITTAH
SHOPHAR
SHORTIA
SINOPIA
SIRLOIN
SOPRANI
SPIRANT
SPOTLIT
STARLIT
STATION
TAHINIS
TAILORS
TALIONS
TALIPOT
TARNISH
TARPONS
TARTISH
THORIAS
THROATS
TIPTOPS
TITIANS
TOPSAIL
TOPSPIN
TRANSIT
TRIPOLI
TRITONS
TROPINS
ALPHORNS
ALPINIST
ALTHORNS
ANTIRIOT
ANTISHIP
ANTISLIP
APHORIST
APPOINTS
ATROPINS
HAIRPINS
HAPLONTS
HORNTAIL
HOSPITAL
HOSPITIA
INTHRALS
INTROITS
NAPHTHOL
NAPHTOLS
OPPILANT
PATRIOTS
PHOSPHIN
PHTHALIN
PINITOLS
PINTAILS
PLASTRON
SIPHONAL
STRONTIA
TAILSPIN
TALIPOTS
TITHONIA
TONSILAR
TRANSHIP
TRIPOLIS
HISTORIAN
HORNTAILS
NAPHTHOLS
PAROTITIS
PARTITION
PHTHALINS
POSTTRIAL
PROTISTAN
SHIRTTAIL
SILTATION
STRIATION
TITHONIAS
TRIATHLON
PARTITIONS
TRIATHLONS
PHILANTHROPIST
About 138.
Hyena
Check in the dictionary, to see how many H's in there...OK?
Five letter words starting with H and ending in H are:hatchhaughfeathheighheuchheughhitchhoochhunchhutchhumphhorahhotchharsh, heath.
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H--H-E-H. That is, eight letter words with 1st letter H and 4th letter H and 6th letter E and 8th letter H. In alphabetical order, they are: hasheesh
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern HA-H--H. That is, seven letter words with 1st letter H and 2nd letter A and 4th letter H and 7th letter H. In alphabetical order, they are: hashish
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern HI-H---H. That is, eight letter words with 1st letter H and 2nd letter I and 4th letter H and 8th letter H. In alphabetical order, they are: highbush
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H---HHI--. That is, nine letter words with 1st letter H and 5th letter H and 6th letter H and 7th letter I. In alphabetical order, they are: hitchhike
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H--I----H. That is, nine letter words with 1st letter H and 4th letter I and 9th letter H. In alphabetical order, they are: hemistich
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern ---H-A--H. That is, nine letter words with 4th letter H and 6th letter A and 9th letter H. In alphabetical order, they are: haphtarah
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern H---I---H. That is, nine letter words with 1st letter H and 5th letter I and 9th letter H. In alphabetical order, they are: hippieish
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -H--I-H-. That is, eight letter words with 2nd letter H and 5th letter I and 7th letter H. In alphabetical order, they are: shariahs