Thank you so much everyone, for the great feedback and advice!
I would have been back sooner to see the responses [lots of interest in this topic!], but I've been away in MD for 6 weeks looking for a liveaboard cruising boat for us. If any are interested, I just posted a question about our prospective boat [search 'blue water pearson 365'].
Again, a big thank you! Looks like there are plenty of places to anchor. Phew.
BTW - I started this thread because someone told me I'd have a hard time finding good anchorages that were not already taken up by moorings.