Sorry for the confusion but spoke with AA and the direct from MIA-EIS is from June 1 to the end of August. I used twitter to talk with AA to actually get to the bottom of why I could not book the direct flight:

"We're a little perplexed as we're seeing available flights from Jun 1, CLT-MIA-EIS starting at 7a 770/3989 and there's overnight into the next day departing at 616p or 815p CLT MIA EIS 1278/2178 connecting the next day to 3989"

"Ahhh! We get it, the routing through MIA ends in AUG, so from that time on, the routing would be through SJU."

This was not at all clear on the press release so be advised.