Here's what rhymes with noneligible.
double bubble publ trouble rubble stubble redouble unbridgeable playable unlikable addable uncharitable dirigible beatable tamable unloveable damnable friable nonviable attachable filtrable unnameable vocable ignitable unplayable acquirable flyable dividable conformable imperishable translatable unarguable containable compoundable vincible imperturbable exploitable untranslatable transmutable indissoluble indemonstrable Words that almost rhyme with noneligible
puddle rebuttal tuple couple subtle shuttle muddle suppl supple huddle cuddle cudgel rappel fuddle scuttle decouple befuddle uncouple oversubtle thermocouple tunnel puzzle bustle tumble buckle chuckle jumble tional juggle tussle bumble pummel duckbill tamale tousle tubful muscle humble bundle jungle funnel muzzle shovel ductile rumble rustle shuffle stumble ductal hovel hustle knuckle muffle mussel ruffle subtile fumble mumble pustule suckle caecal runnel truffle bungle guzzle nuzzle truckle gunnel gumball jugful tumbrel struggle fungal autumnal crumble bestowal grumble scuffle smuggle phrasal reshuffle snaffle snuggle trundle lungful rumple snuffle unbuckle mugful pinocle frontal triumphal colourful crustal nuptial lustful peduncle trustful crumple nonvocal kerfuffle cupsful conformal suboptimal carbuncle prenuptial granduncle heptagonal prefrontal subcortical antifungal distrustful honeysuckle mistrustful duodecimal disgruntle