AA 5300 then AA 611 at Charlotte
Lafayette → Charlotte → Providenciales
Timetable, Charlotte time
11:27AA 5300 from Lafayette at the gate
11:09AA 611 to Providenciales leaves the gate
23 h 42 apart on the timetable, overnight
AA 611 leaves 23 h 42 after AA 5300 arrives on the timetable: more than half a day, so not a connection we count.