Rhyming with map? Here u go!

• nap
• rap
• cap
• lap
• snap
• vap
• trap
• sap
• crap

2 syllables:

chin strap, cloth cap, cold snap, death cap, entrap, flat cap, fool's cap, giap, gift wrap, golf cap, lens cap, pace lap, peaked cap, recap, root cap, sand trap, ski cap, small cap, spark gap, speed trap, steel trap, tent flap, trade gap, unwrap, watch cap, wind gap

3 syllables:

baseball cap, bathing cap, bishop's cap, blasting cap, booby trap, bubble wrap, cradle cap, inky cap, iron trap, jockey cap, landing flap, plastic wrap, pocket flap, sailor cap, saran wrap, service cap, shoulder strap, shower cap, solar trap, spinal tap, stocking cap, swimming cap, take a crap, thinking cap, water gap, water tap, wishing cap, yachting cap

4 syllables:

cervical cap, cumberland gap, garrison cap, liberty cap, overseas cap, percussion cap, toboggan cap

5 syllables:

distributor cap, radiator cap

from: rhymezone.com
Cap, sap, lap, nap, app, tap, rap, gap, yap, zap.