The freedom of movement meant it would not easily be affected by autumn breezes or winter chills. It was certainly better than walking. Ice biking is a popular sporting event with races held practically every week. I cant really think of anything else that you could do. If you fancied giving it a go - Ice bikes can be made just from taking a normal bike and making a few adjustments.
Mountain bikes are by far the most popular types of snow bikes.
You would need dirt, water, and snow flaps. A rack to carry stuff. Big fat MTB tires. BMX style pedals with PowerGrips. A sturdy frame and durable components.