After midnight, there's still not much choice other than the Rey for a hotel with some action.
Both ScoreS and SL reception can receive guests all night. The ScoreS bar is supposed to open 'till 1 am, and ScoreS will definitely do your laundry promptly. But the bar there may not have much action after midnight. The SL bar closes at midnight.
DirtyJeff can post the likelihood of an active bar at ScoreS at that hour - - - that's after my curfew.

Wherever you stay, the Key Largo (across from the Rey) is still active (on most nights) well after midnight.