I haven't fished a ton in Hilton Head but have had decent luck in the Palmetto Dunes Lagoon system near our condo. Yesterday I caught a pretty nice redfish using a Reel Keel gold crankbait right behind our condo, Last year i also caught some flounder in the same location using mud minnows fished on the bottom. There is a tackle shop right of the island in moss creek that sells them and they are very easy to keep alive mine survived for the whole 10 days I was there in a bait bucket i left in the water tied off to a tree. The best times are near sunrise/sunset and i hear overcast days are decent also.