Dest rhymes with:
abreast, acquiesced, addressed, addwest, arrest, assessed, attest, behest, bequest, best, beste, blessed, blest, breast, brest, bud-test, c'est, caressed, celeste, chest, chrest, coalesced, compressed, confessed, congest, crest, d'allest, depressed, detest, digest, digressed, dispossessed, distressed, divest, dressed, eastern-west, este, expressed, farwest, fessed, fest, finessed, gest, guessed, guest, impressed, indigest, infest, ingest, invest, jest, key_west, lest, messed, mest, midwest, molest, natwest, nest, neste, northwest, norwest, obsessed, oppressed, penwest, pest, possessed, pressed, prest, professed, progressed, quest, rearrest, reassessed, recessed, reinvest, repossessed, repressed, request, rest, retest, self-professed, southwest, stateswest, stressed, suggest, suppressed, telequest, telewest, test, transgressed, trest, unaddressed, undressed, unimpressed, unrest, vest, west, wrest, yest, yoest, zest
Dest sounds like:
d'escoto, dacosta, dacquisto, dagata, daggett, dagwood, dakota, daoust, dashed, dashwood, dataquest, datext, daughety, dauzat, dazed, de-excite, deadweight, deathshot, decade, decato, decayed, deceased, deceit, decide, decided, decked, decode, decoded, decosta, decoste, decoteau, dedicate, dedicated, deduced, deduct, deducted, degidio, degood, deist, deject, dejected, desiccate, desiccated, desist, desisto, deskjet, desoto, destitute, detached, detect, detected, detest, detested, diced, dickhaut, dicta, dictate, dictated, digate, digest, digested, digit, dioxide, disassociate, disassociated, discussed, diseased, disguised, disgust, disgusted, dished, diskette, disquiet, dissect, dissected, dissociate, dissuade, dissuaded, distad, ditched, docked, docket, dockside, dodged, dogged, doggett, dogwood, dossett, dost, dostie, doucet, doucette, doughtie, doughty, doused, dozed, ducked, duckett, duckweed, ducote, duct, dugout, duguid, duked, duquette, dusett, dust, dusted, dusty, dwight, dyazide