Iberian rhymes with:
liberian, siberian, berberian, liberian, siberian, algerian, assyrian, berberian, biospherian, criterion, derderian, hanoverian, hyperion, illyrian, liberian, nigerian, presbyterian, quirion, shakespearean, siberian, syrian, thraco-illyrian, valerian, zairian
Iberian sounds like:
iavarone, ibrahim, ivern, ivorian