If/when we ever go back we'll definitely stay at the Hyatt.
Everyone was very nice and helpful. We took a sunset sail on a catamaran which was absolutely lovely and highly recommended. We also had a wonderful seafood meal at Gasparito.
Our favorite part though was renting an open-top jeep (don't forget the sunscreen) for the day and doing our own tour of the island. We went up to the lighthouse, then around the other side of the uninhabitable part of the island (where this picture was taken). We stopped where we wanted (couldn't snorkel Eagle beach that day as the waters were murky) regardless it was fun!