Otto Watler, a native Caymanian beekeeper. I think you might find it interesting. He sounds like a busy, creative guy. Hopefully he is still tending his gardens, and I wish we had known about him earlier.
Aside from the coconut palms, we saw bees on a number of plants. Below is a sampling of some of the gorgeous blooming plants we found. I did not see any bumblebees though I think I did spot some smaller pollinators. It really seemed the honeybees were in the vast majority, though. It's a shame, given the relative poverty of the island, that more do not try to at least supplement income by keeping bees. It may be that more do than I'm aware of.