There have been a couple of posts on this subject recently, if you do a search or scroll back a few pages you'll probably find them.
June is going to be VERY HOT, so I would probably choose Aquarina, it's a little north of the resort on the A1A ( 10 minutes drive I'd guess). It's an "executive course" and just a par 63 or 64 ( it has a high number of par 3s) but it's a pretty course, has some tricky holes and a fair challange. Because it is on the islands it's going to get the most of any cooling breeze that's around and being a little shorter than most 18 hole courses it's not going to be such a struggle fighting the heat. I think the cost of a round was in the $25-30 range and that included the golfcart.
There are a list of courses available from MS at the resort.
