For guests staying in Palmetto Dunes and Palmetto Dunes property owners only. No pets allowed. The Dunes House is the perfect oceanfront restaurant to relax and unwind. It's located steps away from beach and offers casual dining. It features an entirely outdoor kitchen offering fresh grilled hamburgers, wraps, hot dogs, Hilton Head Island’s best fish tacos, and other fabulous dishes. A wide range of beverages are also available, from beer and wine to sodas and signature frozen drinks.