A few years ago my son inserted 6-32 machine screws through his bicycle tires and mounted them to an off road bicycle. I was skeptical at first, but it worked amazingly well on glare ice and packed snow on the lake. I was afraid of slipping sideways, but I tried it and it was very stable. You might consider two studded bicycle tires in the rear with a modified ski in the front, although without the lean for cornering, steering might be a problem. The standard dérailleurs would probably work well in this application. It might require more of a blade in front, like an ice boat. Let us know when you want to hold the CDR.
