You should understand that you are going during high season and starting on the weekend. Therefore, avoiding crowded areas will be very difficult. If that is your primary objective, you will need to stay away from the nightime anchorages with popular beach bars/restaurants. Since this will be your first time, my suggestion is that you visit the spots that are popular to get an understanding of what the BVI have to offer. A counter-clockwise itinerary is generally preferred. So anchorages such as Marina Cay, Leverick, Saba Rock, Anegada, JVD, Norman, Peter, and Cooper might make your list. Get to each one early to get a comfortable spot and enjoy. If that sounds reasonable, I am sure you will get plenty of suggestions on specific things to do.