The only problem... do not have the best garbage disposal.... it becomes a problem for the locals. So instance, the crap left in the Keys has to be trucked a fair distance for disposal.
Anywhere South of the keys, they get rid of it (predominately) in one way. They load the non-floating stuff onto barges and dump it in 3,000 feet. In the Indian Ocean (and other places where such deep dumps are not a governmental institutionalized service) often you see it within SCUBA depth- or along the shoreline.
So far, it seems inefficient (read: not profitable) for Caribbean nations to sub-sort aluminum and ship it to FL, TX or LA while deadheading otherwise empty cargo containers Northward.
The dumps on Caribbean islands are living, breathing organisms, not the least reason being that they are actually lived-in by specific family groups that scavenge their existence from them.
In exchange, they separate out the heavy, sinkable stuff.
Your "used but usable" batteries, cyalume sticks, plastic packaging, etc. They add their own island expendables to the heap which include things like batteries and junk car parts from the Taxis for tourists, and... you get the idea.
Take your garbage home. Give your new friends fresh batteries, and whatever else. Just don't substitute it for cash. Surprising to many- but most Caribbean island people
do not need donations of clothing. They are fairly well clothed by missionary church supply lines. But a Hiphop T-Shirt or a NBA Jersey- there you got something!