I agree with getting a beater. For $1000 or so in wheels and tires I got a great Durango for $2900. Worth every penny to not drive in salt and kill my car.
As for a Z with winter tires I'd take that or a corvette or anything with real ice/snow tires even over my Durango with all seasons any day!!
https://m.youtube.com/watch?v=STaximkaQxo