AA 3864 then AA 5834 at Charlotte
Hilton Head → Charlotte → Roanoke
Timetable, Charlotte time
19:17AA 3864 from Hilton Head at the gate
18:34AA 5834 to Roanoke leaves the gate
23 h 17 apart on the timetable, overnight
AA 5834 leaves 23 h 17 after AA 3864 arrives on the timetable: more than half a day, so not a connection we count.