We live in NY too. I filled out the NYS Health form and received a green check mark back, i.e. no quarantine.

However..... And this is important. You do need a COVID test before you leave Tortola if you are flying through St. Thomas (and I think the same is true for PR). Make sure you check. We neglected to realize this until 2 days before we left. The folks at Peebles hospital were great. We got tested on Sunday and they had the results back to us 10:30 Monday morning, just in time for our flight home. They charge $70 for the test (which is less than the going rate of $125 in NY, although in NY it is normally covered by insurance).

Enjoy!!