If you want to avoid crowds go to anchorages where there are no moorings. Unfortunately these moorings seem to multiply on their own.

I haven't been there for quite a few years but try:
White bay on Guana
my favourite - Little Harbour on Peter- go right up to the old dock and
anchor
Drakes Anchorage at Gorda Sound
Lee bay on Great Camanoe
The SE Corner of Normans - think it's called Carrot Point.
These should keep you busy.
Sailing's great but you should not have too ambitious an itinerary.
Anegada is over-rated. Spend more time in Gorda Sound your first trip, go past Saba rock and
anchor in Eustatia Sound.
By the way, the 393 is an excellent boat.

see avatar.