Congratulations on the 516. That makes your process a lot easier. If it weren't for state politics in Florida, you would probably be comfortable staying in-state (and you still should benefit from in-state tuition).
You should add the NYC and Boston schools since you know there is a large diaspora of Haitians and Dominicans there. The usual DC-to-Baltimore I-95 corridor should be considered. Atlanta also has a sizeable Haitian population.
Consider schools that run student asylum clinics (
www.phrstudents.com).
ADDED: Connect with SNMA and any mentoring organizations supporting Black aspiring physicians.