I emailed the ranger at the Island, here is what I emailed and what I got back, I deleted any non relevant info.
I can bring the turkey fryer, and will try to bring some firewood,,,,,
Thank you for your inquiry,
1 – In the primitive/group camping areas there are grills as well as fire rings for your use. A propane cooking device is allowed, as long as it is something that can be hand carried back into the camping area.
2 – Yes, campfires are allowed as long as they are contained within the fire rings provided.
3 – There are alligators on the park as well as lots of other wildlife. You are not likely to encounter any alligators in the salt-water areas on the park as they tend to frequent the fresh water. We don’t often see people snorkeling as the visibility underwater is limited. Here is the exact text from our brochure:
“To ensure that your State Park experience is enjoyable, please be aware of the dynamic characteristics of the natural environment. There are some areas that may be potentially hazardous. All visitors should exercise caution when visiting any state park. Anyone who is unsure about possible hazards should contact a Park Ranger”. If you have any questions about specific areas of the park once you arrive, please contact one of the Rangers.
4- As long as you are not fishing from a boat, a fishing license is not necessary on the park. If you are on a boat, then whatever South Carolina permit requirements are in place would apply.
Let us know if you have any more questions.
Carl Berube
Park Ranger
Hunting Island State Park
SC Department of Parks, Recreation & Tourism
2555 Sea Island Pkwy
Hunting Island, SC 29920
Phone

843)-838-4868
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Does the group campground have grills for public use, is it ok to bring a "turkey fryer" type of propane cooking device?
Are campfires allowed at the group campground?
the website says there are alligators, and other wildlife, is the area safe and favorable for kids to go snorkeling?
is fishing, shrimping, and crabbing allowed with the appropriate state permits?