I'll ride anything in any weather. Well, except for a flash freeze when I look out the window and see students trying to walk up the hill to school looking like ants in a bathtub.

Have you ever run on an ice rink? It's very possible; you just need to be careful, especially on stops and turns. Once you get going with the right feel, in a straight line, it's not bad.

Riding a bike on ice and snow is a lot like running on an ice rink (or driving in snow, for that matter). Always assume you are on pure ice. Leave absolutely ridiculous amounts of space, slow RIGHT down (gradually) for turns. Be prepared for sideways slippage and react calmly. Perhaps lower your seat a little so you can rebalance with your feet before physics commit you to a fall.

I find skinny road tires good for cutting through snow and minimizing sideways slippage. I'm already used to being cautious on them, and they alert me right away when I'm getting into dangerously slippery territory. But then again I'm a little crazy.

Good luck and glad to see you aren't giving up after nature bruises your ego! Happens to everyone