Replying to Beartooths in August?

This is probably the stupidist question anyone has posted on here. I am driving the Beartooth Highway tommorrow from Cooke City to Red Lodge, on my way from Cody (where I am now) to Bozeman (my home for the next 4 years.) Are there any spots to ski a few turns? Or is everything gone? Are there glaciers and snowfields that stay on these mountains up high year round? I will know tommorrow, but I thought I might get some advice. Thought it might be cool to ski in August, since I have never done that. thanks