FWIW I've listened to LOTS of Jamaican music in my time (I realize we are talking Trini here, but again it might be a reasonable comparison) and I can't say i ever remember hearing the word "cunt." Keep in mind, much of the music is deliberately "slack" = ranging from bawdy to fully explicit. I am talking about recent decades, too. It's not so much for censorship or propriety reasons, just that the word is uncommon. Any explicit jamaican song would say "punany", "punny," "pum pum" (all roughly equivalent to "pussy") etc. Less explicit sex phrases would say "kill your cat", "put wood in de fire", "clean up your backyard" or something along those lines. One notorious 60s song used "fanny" and "crumpet"! The most direct I've ever heard is "f*ck your vagina", which jumps out of the song because it sounds much more like "standard" English discourse rather than Jamaican.

The "C" word is rare in usage, at least in my experience.