SC and Ga barrier islands
If you can handle skinny water, look at the southwestern end of Folly Island on the Stono River near Charleston, and consider Kiawa Island as well. A little bit more isolated area would be Edisto Island on the northeastern side of St.Helena Sound, or again depending on draft, the bay to the north of Hunting Island, also accessed from St. Helena Sound. There are some hidey holes on the Port Royal Sound between Beaufort and Hilton Head.
In Ga waters consider tucking up in the lee of St.Simons on the Frederica River, and probably the most appealing would be anchoring in the lee of Cumberland Island between the Park Service docks and Greystone.
Steve