Check out the Best Western Plus - GranTree Inn. Nice place, very friendly, just be aware they have a "quiet" policy which makes it tough to enjoy if you're a group and want to hang out together after 10pm. Otherwise, good location to make for home base and good prices for excellent rooms. Nice pool too.

And Boseman => Bozeman with a "z" Might make it easier in your searches, though Google does pretty well with misspellings.