The BVIs are probably the most popular charter
cruising area for folks from the US. What do you mean by "quiet, pristine"? Late November is still before the high Christmas/New Year season, so there'll be fewer folks out there. "Anchorages" are basically non-existent. Everywhere a good anchorage could be is now mooring balls. Last time we were there in 2019 most places had non-Boatyball moorings, but I've heard a lot has changed in the last couple of years and that there are fewer non-Boatyball moorings.
The loudest spot when we've been there is Anegada
. CGB, The Bite and Leverick are nice ball spots. Spanish Town and Leverick are nice slip spots. Soper's was still destroyed when we were there but I hear it's much better and was nice prior to Irma. JVD is also nice. Marina Cay is good, but the Scrub Island boat
shuttle runs close to Marina Cay creating wakes. At one time Scrub had slips you could rent for the night. Not sure they still do, but it's very nice also. Trellis Bay is nice, but we normally just dingy over from Marina Cay. Cooper
has gotten very crowded. Great Harbor on Peter is nice, but can also get crowded.
Don't ruin your vacation
by heading over there thinking you'll be the only ones in a mooring field. Generally, even though there are others around you, most are polite and aren't going to bother you.
I know many hate Boatyballs. We go in October and haven't ever needed to use them so, so I can't comment directly about them. However, again, I wouldn't let something minor, like a mooring ball costing $20 more a night, ruin my vacation
. The cost of mooring and slips is going to be one of the lower cost items of your trip.
Enjoy you trip and make sure you have all your Covid protocol/paperwork in line for the BVIs (and for St. Thomas if you're flying through there).