I had a similar situation happen to me yesterday. I'm only 4 miles from home but I rode in, we received what looked like at least three inches of snow. I left work at 6 PM and rode home very very slowly on my slicks...

i was caught off guard by how windy it was. I really couldn't see because the snow was being blown into my eyes. I assumed that people who were driving at speed probably couldn't see me very well and or weren't being very careful in the first snowfall of the year so I took it very easy on the sidewalk. I know, not ideal, but I pedaled calmly past two separate accidents of people who had hit a curb and severely damaged their front wheels.

I'd say you did the right thing being comfortable running. Live to ride another day.