If you're on a cruise you may be at the mercy of your cruiseship as to where they'll deliver you? With 365 beaches on Antigua, this is a hard call. My husband and I stayed at Dickenson Bay which was absolutely beautiful and had several places to catch a delicious bite. We also rented a car to investigate the island and had a perfect moment at a beach near Jolley Harbour. (Don't know if you'll have time to do this?) A quick swim and then a passing cloud burst that brought an exquisite rainbow. I have to say though, that if you rent a car, bring a good map and beware the mountain roads unless you rent 4 wheel drive. They tend to get washed out and not quickly repaired.
Have a great time! It's all beautiful!
Karen for Caribbean-On-Line.com