I haven't noticed the "rubber lung" lately when I ride. I've been trying to take it easy and take frequent breaks if I feel I need to.
Yesterday it snowed. My car's battery died, so I decided to take the bike tonight to dinner instead of having to walk. The restaurant isn't that far, and the sidewalks were pretty clear except in a couple spots. When I came back home, though, it started to sleeting.
Probably the biggest problem was that I tracked in the snow and slush stuck to the tires in. I laid down a towel and made sure to clean up the puddle of melted ice.