Iida rhymes with:
aida, alameda, alida, almeida, arida, armida, arvida, bieda, bodeguita, calida, canida, clarida, coweda, davida, dealmeida, derida, eda, eldrida, elfrida, elfrieda, frida, frieda, grajeda, guida, hayashida, hermida, ishida, kida, kiyohida, leda, lida, lucida, machida, maeda, mayeda, merida, mochida, movida, nida, nishida, panfida, partida, philida, placida, procida, querida, raghida, saksida, schweda, sumida, sweda, theda, uchida, uyeda, valida, waseda, yoshida
Iida sounds like:
i'd, id, ida, idaho, ide, idea, idette, idiot, ido, ihde, iodide, iota, iott, it, it'd, it-wit, ita, ito, itoh, itty, iwata, iwate