A young lady I've photographed got married on Folly Beach and had her reception at Carolina's on Exchange Street; downtown Charleston. She speaks extremely well of Carolina's, they were very customer service oriented. Its not a very large place, so you may want to check on how many they can seat. Best wishes.
I have catered both at the shelter and at an off site location. The preference lies with wanting to travel to a separate location. If you haven't done so already, check the follybeach.com website for all detailed information regarding cost and rules. I believe you can also check the availability before making your plans. Good luck and congratulations.
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