The national parks alone can keep you busy for a while. Teton and Yellowstone in Wyoming, Glacier in Montana. You could even keep going into Canada and do Banff and Jasper if you've got the time and energy.
Just pay attention to conditions at different times of the year - I've technically been to Glacier, but we went in July, and Going-to-the-Sun Road still wasn't cleared of snow even then. You'd want to aim for late July through early September for the best experience.
Aside from that, the cities are all fine, but nothing I'd go out of my way for.
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