Here's what rhymes with eligibly.
intelligibly unintelligibly Words that almost rhyme with eligibly
negligibly delicacy eminently eloquently irrevocably relevancy sedulously relevantly venomously evidently genuinely celibacy excellently arrogantly perilously telegraphy petulantly epigraphy irrelevancy irrelevantly questionably sensually sensuously tenuously resonantly credulously genitally garrulously mellifluously nebulously eventually ethnography gentlemanly plentifully textually tremulously desultorily impenetrably querulously maritally objectionably decadently obsessionally decadency presidency exceptionally intentionally unquestionably professionally incredulously preeminently benevolently technocracy malevolently conventionally congenitally bidirectionally unexceptionably selenography unintentionally expressionlessly unexceptionally unprofessionally unconventionally