Hello shanya,
It's too soon for even a long-range forecast. The I-95 corridor from, say, Washington DC all the way to Boston is one of the most heavily-traveled corridors in the US. While it's possible for snowfall to accumulate during heavy weather events, it's going to be plowed/salted/sanded very quickly.
I've driven many a mile in snow in 2 wheel drive rear wheel drive vehicles. If you have decent radial tires, you should be fine, unless you simply must push into the teeth of a major storm, but:
Since you have 5-6 days to work with, you can have a close-up look at conditions as you prepare to depart. If it's looking like a major event is unfolding up there, you can skip the coastal touring leg and get right on up there in just 3 days, or possibly run hard to the "edge" of the bad stuff, then wait it out for a day or two.
Have a safe trip!
Foy