I did this a while back - you'll have better grip on snow than you normally would on warm pavement!
If you haven't already, make sure to put a barrier between the tire and tubing. I used a strip of that thin shipping plastic (those firm bands you'll see around heavy cardboard boxes). I worked at a restaurant then, and some of the boxes delivered to us were bound in that stuff that was the same width as my tires, so I just repurposed that.
Prior to that, the heads on the screws kept popping my tubing. Even though they weren't sharp, they were grinding little holes with every tiny movement. No issue once the plastic strips were in place.