AA 3864 then AA 5382 at Charlotte
Hilton Head → Charlotte → Savannah
Timetable, Charlotte time
19:17AA 3864 from Hilton Head at the gate
19:04AA 5382 to Savannah leaves the gate
23 h 47 apart on the timetable, overnight
AA 5382 leaves 23 h 47 after AA 3864 arrives on the timetable: more than half a day, so not a connection we count.