I also have a set of Schwalbe CX Pro in 700x30 I used a bit last year during the winter, on a second winter bike. Nowhere near as good as studs on ice, but better in snow. Actually seem to roll better on clear pavement than you'd think.

Schwalbe CX Pro Cyclocross Bike Tyre | Chain Reaction Cycles

https://www.mec.ca/en/product/5028-2...x-30-Wire-Tire

Also, look for used tires on whatever the best used bike site is near you (Craig's List, kijiji, Pinkbike, whatever). I picked up my studded tires for $25 very lightly used (most of them never get used heavily), and the CX Pro's came on a Sturmey Archer wheelset I picked up for ~$70.