Well we also can get snow in Colorado in May and infrequently June as well, even at only 5,000 feet. Weather can be very unpredictable in the Rockies - even in summer months, you can experience a 50-60 degree temperature change in one day, and changes in altitude can be even more extreme. Pikes Peak for example, can be 40 degrees at 14,000 feet, but in Colorado Springs, it can be 105 degrees just 8,000 feet below. Pikes Peak though, is worth visiting. On a clear day, you can see New Mexico, Kansas, and Wyoming from the Summit. I've heard people say that you can see Arizona as well, but I don't believe that. Another tacky tourist spot would be to visit Four Corners where you can stand in New Mexico, Arizona, Colorado, and Utah at the same time. If you happen to make it over the Continental Divide (and yes, I've seen 15 feet of snow in July there), the Colorado National Monument is also well worth seeing if you're heading towards Utah.