You could always just go to the site and try to get a qoute for your dates. If it comes up no rooms, I guess it may be full.
We did this before leaving in Jan and I was so nervous because I couldn't find a room available anywhere. I thought this is going to stink and be crowded. BUT, it was very nice - didn't feel crowded at all. There are always places where there seems to be nobody. The deck around Shutters has great padded chairs and I rarely saw anyone using them.
Pool was very crowded on the sea day, but we managed!
Have fun!!