AA 3391 then AA 5989 at Charlotte
Hilton Head → Charlotte → Gainesville
Timetable, Charlotte time
17:40AA 3391 from Hilton Head at the gate
17:15AA 5989 to Gainesville leaves the gate
23 h 35 apart on the timetable, overnight
AA 5989 leaves 23 h 35 after AA 3391 arrives on the timetable: more than half a day, so not a connection we count.