AA 5586 then AA 3391 at Charlotte
Sarasota → Charlotte → Hilton Head
Timetable, Charlotte time
16:57AA 5586 from Sarasota at the gate
14:33AA 3391 to Hilton Head leaves the gate
21 h 36 apart on the timetable, overnight
AA 3391 leaves 21 h 36 after AA 5586 arrives on the timetable: more than half a day, so not a connection we count.