Air Margarita or Island Birds can fly you from SJU.
Island Birds, Capitol Air, or Ace Flight Center (Cleo Hodge) can fly you from STT.
Either way you will have to go to EIS to clear in, then you can continue on to Anegada.
When we did this in April, when testing was required, we were on the ground at EIS for less than an hour.
Hopefully they will open up NGD for international arrivals soon and we will be able to fly non-stop.