Here's what rhymes with externee.
me knee ne mi ni nee mea mee ny donee nae nie rny be he we she t de see d p pp b c sea v ve key di g tea thee ye fee si z bee li te vii je sie ti wee xi xii xiii ci hee hie ki lee pea ri ry tee wi wie dd dy gi hae ji lea quay shi shih thi whieh yi ze alii bb chih dee fea fie gee ghee lii pee qi rhe sae sci shee tiie tke xy zi bursae ranee whee puttee three free tree pre qui ac plea dc flee tlie fc fhe glee ski tc xxi xxii xxiii bc db flea gli kb pc pg sv tp trainee xxxi bailee bt dp ftp jt lhe pari pd pensee prix quis spree tb tv xxxii xxxiii amphorae tepee banshee parolee suttee twee wormy aurorae emcee epee internee returnee saree teepee brie dungaree honoree topee soignee degree agree decree http cc mit debris xvi xvii cd esprit exp foresee lessee marquis nominee assignee grantee oversee rupee sd sibi xxvi xxvii apogee appellee appointee marquee repartee vendee xxxvi xxxvii goatee oversea queerly scree settee undersea detainee honeybee manatee prithee artsy attendee fusee gutsy monody quinsy wannabe conferee draftee sudsy whoopee florae footsie sirree kedgeree tootsie yippee wannabee guarantee nobody trustee devotee absentee addressee guaranty jubilee quelque referee consignee hyperbole tympani bowsprit franchisee retiree abscissae amputee bumblebee curie potpourri timpani escapee invitee chiropody inductee guarani maharanee paltrier sultrier wintrier shoetree disagree mortgagee interviewee licensee phonology diastole legatee transferee filigree calliope colossally deportee jamboree abductee enlistee bourgeoisie axletree singletree whiffletree whippletree idiosyncrasy