AA 3865 then AA 5055 at Charlotte
Hilton Head → Charlotte → Louisville
Timetable, Charlotte time
13:44AA 3865 from Hilton Head at the gate
13:15AA 5055 to Louisville leaves the gate
23 h 31 apart on the timetable, overnight
AA 5055 leaves 23 h 31 after AA 3865 arrives on the timetable: more than half a day, so not a connection we count.