Acerbitude is a sense of sourness or harshness.
Some of these are at least close rhymes: 1. acerbitude 2. acritude 3. altitude 4. amaritude 5. amplitude 6. aptitude 7. attitude 8. beatitude 9. certitude 10. claritude 11. colatitude 12. consimilitude 13. correctitude 14. crassitude 15. crebritude 16. decrepitude 17. definitude 18. disertitude 19. dissimilitude 20. dulcitude 21. egritude 22. exactitude 23. fessitude 24. finitude 25. firmitude 26. fortitude 27. gratitude 28. habitude 29. inaptitude 30. incertitude 31. indefinitude 32. ineptitude 33. inertitude 34. inexactitude 35. infinitude 36. ingratitude 37. inverisimilitude 38. lassitude 39. latitude 40. lenitude 41. lentitude 42. limpitude 43. lippitude 44. longitude 45. magnitude 46. mollitude 47. multitude 48. necessitude 49. negritude 50. nigritude 51. orbitude 52. overmultitude 53. parvitude 54. pinguitude 55. platitude 56. plenitude 57. plentitude 58. promptitude 59. pulchritude 60. rectitude 61. sanctitude 62. segnitude 63. senectitude 64. serenitude 65. servitude 66. similitude 67. solicitude 68. solitude 69. spissitude 70. torpitude 71. turpitude 72. unitude 73. vastitude 74. verisimilitude 75. vicissitude from: rhymezone.com
There are hundreds of seven letter nouns ending with 'e'. Some examples are:abaloneabsenceadvanceairlineantiqueapostlearticleavaricebaggagebagpipebandagebansheebarragebauxitebeehivebicyclebondagebonfirebrigadebrocadebrowniecabbagecaboosecaloriecaptivecarbinecascadecayennechalicecharadechemiseclimateclosurecocainecollegecolognecombinecommodecommunecomradecornicecorsagecostumecottagecouragecouturecrusadecubiclecuisineculturecupcakecyanidecyclonedeclinedefensedinettediseasedisputedivorceeclipseedificeellipseepisodeepitomeescapeeessenceexampleexpanseexpensefailurefatiguefeaturefianceefinancefinessefixturefoliagefortunefrijolefurnacegarbagegazellegesturegiraffeglimpseglucosegranitegrenadegriddlegristlehectarehormonehospicehostagehotlinehygieneimpasseimpulseincenseinclineinvoicejasminejawbonejubileejusticekaraokeknucklelactoselatrinelatticelectureleisurelettucelicenselineagelinkagelozengeluggagemachinemacramemalaisemanateemandatemassagematineemeasuremessagemethanemicrobemiraclemistakemixturemonoclenecktienegligenitratenomineeoffenseorificeoutcomeoutlineoutrageoutsideoveragepackagepalettepanachepancakepapoosepassagepasturepeeragepenancepenuchepictureplumagepostageposturepotholeprairieprefacepreludepremiseprimateprivateproduceprofilepromisepropanepurposequininerampagerapturerawhiderecluserefereerefugeerelapsereleaseremorsereptileresidueresolveretinueretireerevenuerevengereveriereverserhizomeriptideromancerosetteroutinerupturesalvagesardinesausagesceptresciencescourgescuffleseizureserviceshackleshambleshingleshuffleshuttlesilencesoufflesparklespectrespindlestaturestatutesteeplestoragestubblesucrosesuicidesulfatesunrisesurfaceswindlesynapsesyringetadpoletermiteterracetextiletexturethimblethistletonnagetorturetraineetrapezetreacletreadletrestletributetrickletroubletruffletrusteeturbinetwinkleukuleleumbragevaccinevalancevampirevehicleventurevestigevillagevoltagevulturewannabewarfarewattagewebsitewelcomewelfarewhistlewrinkle