Here's what rhymes with either.
neither breather Words that almost rhyme with either
ether fever seizure beaver dieser weaver vivre reefer teaser geezer leaver vizor heaver liefer leaser chiefer freezer briefer achiever cleaver greaser appeaser griever naiver fleecer receiver believer deceiver perceiver reliever squeezer retriever unbeliever transceiver overachiever brainteaser cantilever disbeliever nonbeliever underachiever eager eater ior eagerer leader reader teacher feature deeper cheaper meter weaker dealer keeper liter cedar feeder femur hearer heater meager beaker healer keener seeker beater meaner reaper wieder leaner neater sealer beeper feeler lemur peter reamer teeter cheater lieder peeler ceder dieter meeker peeper seeder weeder weeper wiener kneader serer sheerer meagerer creature senior speaker preacher steamer cleaner dreamer freer breeder sleeper steeper sweeter creeper greener praetor sr feebler fielder pleader sweeper bleaker bleeder osier schemer wielder bleacher creamer serener sneaker fleeter gleaner greeter sleeker speeder tweeter charier skeeter slyer bleeper mealier ashier demeanor redeemer repeater denier servitor streamer teamster overeager politer beleaguer besieger defeater screamer calliper eggbeater gaudier squeaker beguiler streaker benigner beseecher gamier impeacher tonier caviler obscener phonier zanier winier uniquer clayier podgier fernier procedure overseer convener headteacher intriguer convenor newsreader seignior sightseer concealer southeaster speedster mangier newsdealer foreseer tangier pastier uncleaner unwieldier millimeter milliliter consignor completer deciliter monsignor extremer northeaster talebearer discreeter windcheater untidier squishier snarkier centimeter misdemeanor gravimeter costumier centiliter stockbreeder tranquiler unhandier pronuclear unlovelier