Appian rhymes with:
campion, caspian, champion, ethiopian, fallopian, hagopian, homosapien, hovsepian, mississippian, olympian, rippeon, scorpion, slepian, stepien, thespian, utopian
Appian sounds like:
abiam, abney, affine, apennine, apnea, aubin, avana, aven, avena, aveni, avenue, avian, aviano, avina, avon