Fresh seafood is definitely the fare of the day. There are lots of casual dining options on the Eastern Shore. Make sure that you don't miss StingRay, just a short ride south on Route 13. The food is fantastic, the freshest on the eastern shore, & inexpensive, the environment is extremely casual, and you'll get a real taste of local color.
But you might want to bring home fresh local seafood and produce, and cook up a feast in Bay Breeze's fully equipped kitchen or barbecue on the deck while enjoying the view of the Bay.
For more formal dining, Virginia Beach and Norfolk provide lots of great options.