I have cycled the Beartooth Pass a good number of times. It's a great ride and not nearly as difficult as one might think. If you are acclimated to altitude, you won't have any difficulties. If you come up from Red Lodge, the switchbacks are relatively easy. Once you get up high you might find yourself feeling the altitude. Traffic on the road is slow and minimal, so you don't have to worry about cars. Many drivers will pull up to you and ask you questions or offer encouragement. What do you plan on doing after you get to the west summit? I've generally continued on to Cooke City and Yellowstone Park. If you return to Red Lodge you will most certainly get tired of descending. It's really more fun to go up than down.