The Nice bridge crosses the Potomac River at Dahlgren, Va., not the Chesapeake Bay. You will be on US Rt. 301 headed north through Maryland, crossing the Rt. 301 Bay Bridge at Annapolis (same problem) to get to the Eastern Shore. I'd look into the shuttle van at the Chesapeake Bay Bridge Tunnel at Norfolk. That drops you at the southern end of the Eastern Shore (Delmarva Peninsula).