You have got to be kidding me, grooving tires? CHAINS! is what you need in snow, use your heads. Look when you are on the road, oil trucks, school buses, highway plows all use drop down chains in the North East.
Yes when I first put chains on my Kubota B3030 they smacked the inside fender, bought the spacers which made it more stable and gave me chain clearance. Properly installed chains are the bomb, you have to check for tension and slippage after you run them a bit. Damage on asphalt or concrete driveways, which is just as frozen as the ground? come on. Speak from experience, keep your opinions to the cocktail party.