Amiram rhymes with:
abscam, adham, angiogram, avraham, azactam, baram, bigram, brittingham, chromatogram, cinram, cookingham, deprogram, eelam, electrophoretogram, eltringham, fotheringham, ghulam, halberstam, imam, iranscam, langham, mariam, marsam, meshulam, mileham, nanogram, rowbotham, ulam, varlam
Amiram sounds like:
amarin, amerine, amerman, ameron, amiran, ammerman, amraam, amrein, amrhein, amrine, anaren