Here's what rhymes with whomesoever.
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whether measure weather leather leisure lesser feather heather lessor fresher nether tether thresher zephyr guesser pressure pleasure treasure assessor dresser presser together successor possessor aggressor oppressor suppressor refresher professor displeasure compressor confessor depressor intercessor altogether transgressor acupressure countermeasure predecessor better letter terror pepper seller bearer cellar debtor metre tenor beggar header ledger stellar sweater teller fairer feller leper rarer wearer checker fetter redder setter wetter carer sharer bettor cheddar speller stepper wrecker deader lecher shredder swearer center member centre gender sector gesture lecture render shelter surrender temper tender vector venture slender tenure censure helper sensor vendor censor lender rector sender tremor ureter denser denture dweller nectar sceptre specter spectre stretcher tester fender jester peddler scepter smelter welter censer fester herder metier pedlar pester renter scarcer spreader welder abettor bender dredger fencer spender vender vesper welcher heckler meddler director texture inspector offender semester splendor cerebellar elector gentler impeller selector avenger blender tempter ejector begetter cleanser erector trencher remember receptor adventure collector detector inventor investor connector defender propeller distemper engender indenture interstellar reflector assembler centimetre debenture dispenser injector millimetre objector bestseller blasphemer dissenter provender respecter sequester bisector declarer defector deflector dismember dissector intenser nonmember condenser conjecture protector trimester polyester preceptor projector storyteller contender pretender epicenter interceptor misadventure transgender epicentre architecture peradventure carburettor multiplexer experimenter