Between the mooring field and Anegada Reef the depth is about 5'.

If you need more depth, you can anchor southeast of the mooring field / southwest of the government pier in about 8'.

You'll have 5-6' anchoring off of Neptune's Treasure (east of Pomato Point).

If you want to anchor west of Pomato Point, enter from the south/southwest. Don't try to maneuver through the mooring field and past Neptune's coming or going as you'll likely wind up on Jake's Shoal.

Walker's detailed chart is a worthwhile investment to help stay out of trouble - http://shop.bvipirate.com/anegchart.html