Inside Chincoteague and Assateague. Virginia Tourism. The main town for eating and lodging on the Eastern Shore in Virginia is Chincoteague Island, which has become a wee bit hip in recent years, with a young and entrepreneurial slew of residents injecting energy into the community. Let world-famous Chincoteague Island be the backdrop for your next business or social event! This quaint seaside town retains the flavor of yesteryear while providing...