I have not been up there this week so I don't have first hand knowledge, but every year we go up in early to mid April (when everyone is raking their lawns in Wisconsin) and we stay just north of Houghton. (Getting out of town in Houghton will probably be bad) We have had amazing rides late in the year. I am sure there will be plenty of snow up there, just getting into towns is the only hard part. Also, watch for creeks and streams that start opening up across the trail when the weather gets warm. I think you would have plenty of snow this weekend, but I would stay in Calumet if I were you. Then you don't have to run through downtown Houghton/Hancock.