AA 5176 then AA 3865 at Charlotte
New Orleans → Charlotte → Hilton Head
Timetable, Charlotte time
11:29AA 5176 from New Orleans at the gate
10:35AA 3865 to Hilton Head leaves the gate
23 h 06 apart on the timetable, overnight
AA 3865 leaves 23 h 06 after AA 5176 arrives on the timetable: more than half a day, so not a connection we count.