I put it on my planning calendar, according to mapquest, anywhere from 6-9 hour drive for me, depending on route.
I take 2 days, staying at the Broken Wheel Campground in Petersburg, NY the first night. I could do it in one day, but don't enjoy 400 mile drives. I doubt that would be a good stop for you, but it is one of the few area campgrounds that is open for the season.