Trying to Maximize miles - Feb. 10 - LAX - MIA/FLL on AA

Traveling to South Florida, February 10 - 12.

I have all day on February 10 to travel to either MIA or FLL. I am flying back from FLL on Feb. 12.

Flying on American Airlines, I am looking to maximize my miles flying from LAX - MIA/FLL on Feb. 10. Any recommendations on routing that is cost effective. I have seen that routing through JFK or DCA runs about an extra $150 or so.

Thank you in advance for any suggestions.

David