Perrine rhymes with:
alessandrini, andreani, balzarini, cabrini, carine, carini, carinii, d'alessandrini, dorine, fiorini, florine, freeney, freeny, furini, garbarini, gasparini, greaney, guarini, larine, lazzarini, magrini, marini, maurine, morine, morini, pelagreeny, pellegrini, petrini, pierini, reaney, reny, rini, sarine, sirrine, venturini, victorine, zorine
Perrine sounds like:
paramo, parana, paranoia, parham, parma, parman, parrino, pearman, pepperman, pepperoni, peraino, perham, periman, perin, perine, perini, perino, perma, perman, permiam, permian, perna, perno, peron, perona, perone, peroni, perren, perrin, perrino, perron, perrone, perryman, perryn, pharaon, pharma, pheromone, pierini, pierman, pieroni, pierron, piraino, piranha, pirone, pirrone, poorman, porn, porno, poveromo, pran, praun, prawn, preen, preheim, prehn, prem, premium, premo, prenn, priam, priem, prien, prim, prima, prime, primeau, primiano, primm, primo, prine, priyam, prom, promo, prone, pronoun, prune, pruneau, pruyn, prynne, purim, purina, pyburn, pyrena, pyron