You could also consider trying for Platinum on AA (Silver equivalent) via challenge. You'll have to read the sticky on the AA board to see how many AA segments are required when achieving PLT by challenge since normally it's at least 4. However one WT+ r/t to Asia (plus the challenge fee, around $150USD) and you're there.

Otherwise, do you ever book RTW tickets? If so, make sure you have a stop in Los Angeles and book a separate LAX-MIA-Caribbean on AA w/your BAEC # attached with LAX-MIA in F and MIA-Caribbean in J for around $1,100USD and 440 Tier Points.