Tom absolutely great restaurants. We go to HH for a week every year. Ombra Cucina is outstanding. The wine list is amazing and not the standard large markup. There is an Irish Pub that has amazing prime rib on Thursday night. I am getting hungry!

take a look at the restaurant called Studio I liked it. It's near Caligny
The Studio Hilton Head Island - Reviews and Deals at Restaurant.com

and
The Jazz Corner

same area--We would go there for dessert and the music

Ten Must-Try Lowcountry Restaurants | Hilton Head Island