If you want to venture beyond Disney while on Hilton Head, some of the attractions I see listed are the Hilton Head Distillery (maker of craft rum and vodka), the Coastal Discovery Museum, the Harbour Town Lighthouse Museum, the Sandbox Interactive Children's Museum, the Sea Pines Forest Preserve, the Hilton Head Birding Trail, and historic forts Howell and Mitchel.
Or if you're in a piratical mood, check out Hilton Head's Pirate Ship Adventure on the Black Dagger.

Next, we're getting on a plane and heading to Hawai'i!