AA 5594 then AA 3867 at Charlotte
Little Rock → Charlotte → Key West
Timetable, Charlotte time
13:38AA 5594 from Little Rock at the gate
12:45AA 3867 to Key West leaves the gate
23 h 07 apart on the timetable, overnight
AA 3867 leaves 23 h 07 after AA 5594 arrives on the timetable: more than half a day, so not a connection we count.