Here's what rhymes with toupee.
day pay j bay che dey jay payee rj tae bey they may way say play re lay stay today array gay k obey pray ray hay nay prey weigh tray fay fe oj yea bouquet hey ij ley rei sei whey bj bk drei fj kc lei rea tj tre wei bray dray neigh brae cay fey roue shay trey spay away delay clay decay essay gray grey okay spray ballet betray repay stray sway fray slay allay ok passe sleigh saute zwei flay belay splay byplay moray prepay purvey aurae outstay reweigh aweigh copay display survey cafe dismay portray astray valet attache defray disarray disobey fillet papillae cabaret dossier naturae puree replay toothache parquet souffle filet inveigh airplay nisei patellae sachet sorbet hooray noway overpay sickbay briquet hurray outplay umbrae underpay bobsleigh anyway convey everyday yesterday holiday halfway interplay underway vertebrae cliche overlay passageway protege waterway gangway matinee underlay alleyway crochet croquet getaway risque soiree wordplay workaday hideaway pleurae soubriquet stowaway underplay overplay overstay urethrae layaway medullae misplay tearaway respray runaway faraway lamellae naivete emigre francais nebulae societe breakaway fistulae lingerie sobriquet straightaway caraway carriageway castaway fibulae giveaway ricochet throwaway resurvey stingray takeaway flyaway roundelay caesurae uvulae copulae foldaway penumbrae sequelae microarray maxillae scapulae cabriolet macrame cybercafe walkaway tarantulae formulae communique trabeculae salmonellae companionway caravanserais