AA 3391 then AA 5630 at Charlotte
Hilton Head → Charlotte → Charleston (West Virginia)
Timetable, Charlotte time
17:40AA 3391 from Hilton Head at the gate
17:21AA 5630 to Charleston (West Virginia) leaves the gate
23 h 41 apart on the timetable, overnight
AA 5630 leaves 23 h 41 after AA 3391 arrives on the timetable: more than half a day, so not a connection we count.