Abilene rhymes with:
methylene, acetylene, acrolein, allene, aniline, arlene, carlene, darleen, darlene, dryclean, ellene, ethylene, evaleen, gasoline, kathlene, magdalene, marlene, maybelline, mescaline, methylene, naphthalene, nutriclean, opaline, orlene, polyacetylene, polybutylene, polyethylene, polypropylene, sharlene, tourmaline, valvoline, vaseline
Abilene sounds like:
abalone, abeln, abloom, abohalima, abouhalima, aflame, aplin, apolline, apollinian, apollonian, appelman, appleman, applin, avallone, avalon, aveline, avellino