On a snowy day, 3 months after passing their test one of my children, became the first 2wd car to get into a ski resort car park, thanks to Goodyear Vector 4 Season tyres, with no fuss no drama, having never driven in snow before.
I personally can vouch for Nokian Weatherproofs, but I think you would be amazed by the performance of any modern premium all weather tyre in snow.