I just returned from a road trip that started out with a drive from PA to the Outer Banks, and I'd echo the recommendation to cross over to the DelMarVa Peninsula. It's a scenic drive, and it takes you to the Chesapeake Bay Bridge-Tunnel, which is worth the $12 toll to cross. If you're not familiar with it, google it -- it's 3 separate bridges with 2 tunnels in between, and it's 18 miles long. There are parts where you can't see land in either direction -- just you, the road, and water beneath. It's a cool drive.
I'd also echo the recommendation that you should hit the Wright Brothers National Memorial in Kitty Hawk, NC. It's got a great museum, some cool displays, stone markers denoting the distances for each of the first 4 flights, and a huge monument on top of a hill that provides a panoramic view of the coast. Very interesting stuff, and definitely worth the admission fee (which is something like $4 per person).
Enjoy!