The Cody Gun Museum also. They are on winter hours, so plan for early visit. We topped off a hunt a few years back by swinging through Cody.
When you get used to a good long stair climb, put a dust(particulate) mask on.
Make sure it has a free flow exhalation valve. It will make you work harder for air. I have done that many times prior to hunting trips, and strap on a good heavy pack.