Tennis & Pickleball Vacations at Palmetto Dunes Palmetto Dunes Oceanfront Resort offers outstanding tennis and pickleball packages for players at all skill levels at one of the world's finest family resort destinations. The award-winning resort offers dream vacations for tennis and pickleball players year-round on Hilton Head Island. At the heart of the Palmetto Dunes Tennis Center you'll find 21 (six courts are lighted for night play) clay tennis courts and 16 pickleball courts. There's also a helpful, energetic staff whose primary goal is to make your visit a rewarding one.