AA 5967 then AA 1176 at Charlotte
Baton Rouge → Charlotte → Fort Myers
Timetable, Charlotte time
16:23AA 5967 from Baton Rouge at the gate
15:39AA 1176 to Fort Myers leaves the gate
23 h 16 apart on the timetable, overnight
AA 1176 leaves 23 h 16 after AA 5967 arrives on the timetable: more than half a day, so not a connection we count.