I am facing a MR situation in which I need to spend the proverbial "graveyard shift", approx 12 midnight to 5AM, at some airport, then catch a 6AM'ish flight to catch an international flight.

The time 12-5 AM does not seem worth bothering with hotels etc. I can't organize it to get a proper sleep. Miles are the only good thing about this trip. I am wondering if AC lounge hours (any 24 hr ones?) or the general facilities make certain airports better. A partial list of airports is:

ATL, BNA, CLT, DCA, IAH, JAX, JFK, MCO, MIA, MSY, RSW, TPA

Thanks.