AA 3391 then AA 5090 at Charlotte
Hilton Head → Charlotte → Nashville
Timetable, Charlotte time
17:40AA 3391 from Hilton Head at the gate
17:04AA 5090 to Nashville leaves the gate
23 h 24 apart on the timetable, overnight
AA 5090 leaves 23 h 24 after AA 3391 arrives on the timetable: more than half a day, so not a connection we count.