if you went to MSUB you could ski Red Lodge aka Rock Dodge. Not a great choice for skiing, no one in Billings cares about skiing for good reason. The alpine high people are pretty cool tho.
i grew up in billings and skied red lodge my whole life. I now live in bozeman and go to school. Bozeman is much more of a collage town instead of and industrial town with a collage and the skiing is 1000 times better. unless your 42, have a family and are looking for a job then i would move to bozeman.