AA 3391 then AA 2983 at Charlotte
Hilton Head → Charlotte → New Orleans
Timetable, Charlotte time
17:40AA 3391 from Hilton Head at the gate
16:05AA 2983 to New Orleans leaves the gate
22 h 25 apart on the timetable, overnight
AA 2983 leaves 22 h 25 after AA 3391 arrives on the timetable: more than half a day, so not a connection we count.