Absolutely the Hyatt
often there is good entertainment/music in some of the resort lobby's.
How about Pelican Nest? It's over the water, has good drinks and food and has spectacular views of the sunset. From there it's a short walk down the beach either way to several venues from Moomba to Bugaloe. What day and time do you arrive?
The Hyatt has the nicest grounds on the island IMO