I've seen a few species that have the dark, rosewood looking color along with a light tan sapwood like that. My first guess would be Cocobolo, followed by Sissoo (or Sheesham), both of which are Dalbergia rosewood species. Although Cocobolo is not native to the Caribbean, it is often associated with the region because it is frequently imported to the Caribbean from Central America for use in knife handles, gunstocks, and other high-end specialty items.
Cocobolo is a dense wood and usually has a specific gravity of 0.9 to 1.1 which is higher than water (1.0) so it will usually sink where Sissoo usually floats having a specific gravity is in the 0.6 to 0.8 range.
Dave