Towing on the Blue Ridge Parkway?

We drove much of BRP and all of Skyline Drive. Our only problem came when the Rangers at one of visitors center failed to tell us the road was closed due to snow. We passed a possible turnoff and rounded a corner to find the gate across the road. Of course we had to disconnect the towed to turn around and then down a very steep twisty road and somehow ended up getting to the end of the Parkway. We will return and take the towed and drive all of the BRP, this time from South to North. I've got to see the Viaduct.