I go to Bonita Springs every year (20 mins south of Fort Myers) and I try to get a few rounds in while i'm there.  I've played Old Corkscrew, Raptors Bay and Streamsong.   There are A LOT of courses in the area and since you're going in the summer you shouldn't have a problem playing anywhere and the prices will be cheap.   

If you go to Fort Myers, I highly recommend checking out the courses i listed above.  Streamsong is about an hour and 1/2 North of Fort Myers but it is WELL WORTH the drive..