I never tell a fellow rv'er not to do something but we always have a home base and travel the parkway on the truck. There are some low tunnels and sharp curves that may not be the best thing pulling a fiver. Generally all the scenic pullovers are heavily travelled during the fall season and I think you would be hard pressed to find enough room to pull over and enjoy the scenery.
This year as in past years we are staying a week closer to the southern end and then moving up north and staying another week. We enjoy that since it is stress free for us and allows us to travel the parkway in ease.