You could cross the Tug Hill to Boonville.
From there take the Moose River Road from there to RT 28 in the Adirondacks.
I have driven Moose River Road, it is quite beautiful.
Head north on 28 and take South Shore road from Old Forge to avoid traffic, hills, and narrow shoulders between Old Forge and Inlet.
From there roads have generally better shoulders and you should be able to make your way north and west on state routes.
Enjoy