Welcome to the forum Chris. You as well Levar.
I lived in Naples, FL for 10 years. The weather patterns of south FL are fairly similar to what you experience in Haiti. With a couple exceptions. Haiti never really cools down much in "winter" and definitely doesn't get any frost. While S. FL will see a rare frost every few years. But the dry sunny winters are typical in S. FL, much like Haiti. As was mentioned, this could be a blessing when growing figs of just about any variety.
Might be worth your effort to just experiment with whatever varieties you can get your hands on.
But you could also get in touch with some folks who have experience at growing figs in an area of FL that's just about as tropical as it gets in the state - the Fruit and Spice Park in Homestead. Apparently they've been growing figs there for awhile now. I'm sure they've built up some experience and that would prove very useful to you. They're much about educating folks on the various tropical fruits and how to grow them. So, I'm sure they'd be happy to help. You may have to be patient though while someone gets back to you. They're usually pretty busy.
I visited there once many years ago. I asked if they would ever share any seeds from the Jackfruit they grow. They said sure. I just had to leave my name & address & they'd send me some seed once the fruit were ripe. Honestly, I didn't think I'd ever hear from them again. But sure enough, a few weeks later, I got some big seeds in the mail. I got one seed to germinate. As far as I know, that tree is still growing in a back yard in Naples Manor.
I doubt the Fruit and Spice Park will be able to send you any plant material. But they should be able to, at least, put you onto some varieties that have done well for them.
Anyway, here's the link to their site: http://www.fruitandspicepark.org/
Hope this helps.