Gullah Oyster Roast – All You Can Eat. The Gullah Museum of Hilton Head Island will be having its Annual All You Can Eat Oyster Roast on April 9th from 11 a.m. to 4 p.m. on the museum site located at 12 Georgianna Drive. There will be bouncy houses for the children, food vendors for nonseafood eaters, and DJ OJ will provide music for a fun filled afternoon. $10 Admission Fee. $40 All You Can Eat. Purchase tickets.