This time of year the Blue Ridge Parkway is probably closed, and it definitely will be by the time you get to it. They get some pretty heavy snows at those altitudes. Stick closer to the coastline, the temps should be mild enough that you're unlikely to run into as much ice on the road. I might also suggest not riding at night when you're going up the east coast, during the day will make it easier to spot any areas of questionable traction.
I hit a patch of ice on an onramp once, riding my DL650 from Chicago to Milwaukee in February. I would not recommend anyone repeat that. (Although as I was sliding down the highway trying to kick the bike off from on top of me, the only though in my head was "Dammit, I just bought this bike!")