The BRP is a great drive and it’s just a mile or two down the road from the Asheville Supercharger. It would be great to hop on the Parkway and head to the northern terminus around Charlottesville, then take I-64 east to Newport News. The problem is that there are no superchargers near the BRP except in Asheville ad Charlottesville, and I’m not sure what kind of ride you’ve got, but even a Raven 100D can’t make the whole trip without stopping to charge, which will mean a half-day of charging at least, at level 2 speeds.
One good option, if your schedule permits, might be to find a place to stay with any level 2 charging (Tesla destination charging even better) somewhere close to halfway between Asheville and Charlottesville, and charge up overnight. Once you get to Charlottesville, you’ll be out of the Supercharger desert and have a straight shot on into the Peninsula. Taking the BRP all the way up into VA in one day, without superchargers, is a little tough but I bet you could make it happen with some strategic charging.
The drive sure is worth it though. My avatar picture was taken at Hominy Valley, just about 5 miles west of Asheville on the BRP. On the way east out of Asheville, Craggy Gardens is a great sight with hundred mile views. The drive is such a great one that it seems worth it to bend your schedule around it if possible. After all, like
@ewoodrick said, it’s a slow drive (avg 45 mph) so it is already going to take way longer than taking the Interstate to get to the Tidewater area.