You didn't specify if this family had kids or not, but my favorite AI is Beaches Negril. Used to take my kids there when they were little (grown now) and it was so worth it because they were eating and drinking machines. Water park, snorkeling, skiing, etc., included. I've even gone to BN with my friends and left the kids at home and still had a blast. Haven't done AI for many years, though. Suppose if I tried one now, it would be Grand Pineapple.