Alligators stay mostly in the creeks and back water areas. They are not conditioned to see humans as a food source here. They avoid people. To the best of my knowledge the only incident occurring at the lake was up in the refuge when a researcher was messing about on a nest site and mom bit his arm. I wouldn't worry about swimming, especially in the designated swim area at Cotton Hill.
I'm not sure about the swimming but you can give the campground a call and they can give you information about swimming.
There are several campgrounds in the area that have swimmingpools...
No swimming
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