When I moved from CO to VA I took I-70, using the outerbelts around St. Louis, Indy and Columbus. I-70 onto the turnpike to Breezewood, down 270 to the 395 around DC to 95.
I run NoVA to Columbus Ohio or Pittsburgh on a regular basis. I've had no trouble at all running the PA Turnpike. I think the toll from Washington PA to Breezewood is around $10. I can generally run the entire route at about 10 over the limit with no trouble. My SO runs it at about 15 over.
The only caution is to watch your arrival time. You have got to be around 395 no later than about 2:00 pm or you'll hit awful traffic on 95 S. After 7:00 pm it seems to break up, unless there's a wreck, or rain, or sunshine, or snow, or clouds. 103.5 FM has traffic reports "on the 8s".
Last week I ran a bit late, hit I-95 at 3:00 pm and traveled the last 40 miles of my trip in 2 hours. I was coming down with an awful stomach flu, so you can imagine what a nightmare it was.