We will be driving from Cody up the Chief Joseph Highway to Beartooth Hwy and on into the park. Once we hit the Beartooth, should we turn right and detour toward Red Lodge then do a u-turn and head back down into the park? Or should we just turn left and go on down to the park? Is that portion of the highway scenic enough to warrant that detour? And if so, how much time should we allow? Thanks for your input.