If you hanker a rider on the Eastern Shore, then skip going all the north to DE, cut over on 50 thru Annapolis, down 301, pick up 13 as you have depicted, but, from the Beach, take 664 to Newport News then grab 58. Follow 58 to 460 to 95 below Richmond. Whip around the 288 to 64 on the west side, and take 33 home. Or use 522 to route you past Lake Anna and up to 17 to 66 to home.
This way you get to stay off 64 from the Beach (still tons of road construction and traffic) and you can use semi-rural, undulating roads thru small towns to get home. From where I live, travel to the beach is a coin flip using 64 or 460/58. But 460 is a much prettier drive and there's no knuckleheads tearing up the road at 90MPH thru construction zones.
If you take the GW Bridge, carry your EZ Pass and be carefully, the bridge is grated in sections.
Stop at the beach and have a fresh bowl of Oyster Stew at Chicks (Shore Drive and the Lesner Bridge, about 3' from where 13 comes over the from Eastern Shore). Sit waterside and enjoy the view.