I heartily agree with Zanshin on his select islands. We only day-tripped to the BVIs from St. John and found them to be lovely. We truly enjoyed Grenada having stayed there for ten days. We loved it’s friendly people, beautiful and wide variety of scenery and photo ops. Too much to see and experience in a bare week but worth the effort trying. The falls and the rain forest were new experiences for us and were all lovely. So glad we did it once and hope someday to return.
PS - St. John, USVI, was also lovely and had much of what you’re asking for.