Via the Interstate?? I-85 north to I-95N.
Or a much more scenic route...I-75N; I-40E; I-81N and then cut over above Wash DC/around Baltimore to I-95N.
This route will take you thru Shenandoah area...parallel to the Blue Ridge Pkwy.
I've driven both routes before. I'd guess about a 14hr drive...depending on traffic.
Let me know...maybe we'll caravan.