That is a first go-to, Rick and I usually sail there (nearly every wind works to head East in the bay) in just over an hour. BUT, it's one of the most popular hurricane holes. Last hurricane, Irene - which was well publicised, I headed to Pulpit. I found space to anchor but there were a lot of boats in there and all the moorings were already occupied.
The important key I have found is, don't wait too long for shelter from a named storm or big gale.
Irene gave us 50 knots which I hung on two anchors, no problem as there was little fetch to deal with. The best is Cradle Cove inside of Pulpit but all good places in there were taken.
My harbor, Rockport was cleared out as most 'yachts' were hauled for that storm. We're just a boat.