If you don't have checked bags you can hang out in the terminal after clearing immigration and before leaving the airport. That won't help with the sleep issues but it should at least let you be comfortable during the wait.
Personally I always try to sleep immediately after departure on TATL flights from east of the Mississippi. They're too short anyways and it sucks, but a little sleep is better than none.
Also, if you want a beer in the terminal buy it from the food souvenir store instead of the restaurants. Same exact beer for a third the price.