Our bus is actually a 2pm bus, not a 2 am bus, but at least I know its not a completely crazy idea. The flight leaves at 6:30 so we would need somewhere to hangout for a couple of hours. I guess we could sit in the lobby for a couple of hours.
Wait, 2pm? So you're looking for a way to spend 12 hours from 2am to 2pm without a private space? That's tougher. When you get back from the DAH, you're no longer a hotel guest. You could sleep on the beach, in the lobby, or in the open areas of the grounds but I suspect that would end badly. I understand your reluctance to pay for a room you're only going to use from 2am to 11am, but that room also buys you the ability to play at the pool for the rest of the afternoon. Also, if you could get late check out and stay in the room until 12 or 1, it might be worth it to have a full 8 hours of sleep under your belt on a travel day.