AA 3391 then AA 5976 at Charlotte
Hilton Head → Charlotte → New Bern
Timetable, Charlotte time
17:40AA 3391 from Hilton Head at the gate
17:35AA 5976 to New Bern leaves the gate
23 h 55 apart on the timetable, overnight
AA 5976 leaves 23 h 55 after AA 3391 arrives on the timetable: more than half a day, so not a connection we count.