By J/F, I mean only Business or First (Domestic).
Some examples I can find (J/F return on AA), will probably be a little more to get the right timings and dollars;
Aruba $998
Guatemala City $912
San Juan $1106
Belize $1030
Panama $886
Barbados $923
Sint Maarten $1859
Most are about 6pm Thurs LAX-MIA and then early morning flight, stay Friday to Sunday, early Monday morning flight arriving in LAX about 8pm for me to make my 10.30pm flight to JFK (32B).