Sylvan Pass & Bear Tooth Hwy

After reading your post 3-4 times, I think you are saying that you want to drive the Beartooth in a loop from Cody and back again. If so, the easiest thing would be to take the toad. Both the Beartooth and Chief Joseph are beautiful drives. The longest climb (or descent if you are going the other direction) is between Red Lodge at about 5,500 feet and the Beartooth pass at 11,000 feet. From the Beartooth pass down to the junction with route 296 the descent is less that the climb from Red Lodge, but I don't know the elevation at the junction. The Chief Joseph tops out at Dead Indian Pass at about 8,000 feet.

We have driven the Beartooth from Red Lodge to Yellowstone and the Chief Joseph from Cody to Yellowstone in our Class C (not towing) with no difficulty.