How about 2wd and no chains. Worked for me for over 20 years, of course I had to be careful where I went. Much like drivers of 2wd pickups. You know the traction limitations and avoid areas that could pose problems. What I found interesting and sometimes frustrating, if clearing wet snow at near freezing temps., I had plenty of traction in the un-cleared deep snow. It was where I had cleared the snow away, the rear tires would spin because the lugs no longer got grip on the slick plowed surface. It needed the snow for traction!
No one has talked about possible effect of rubber compounds might have on winter traction, as in automobile snow tires. Maybe different tractor tire mfgrs use rubber compounds that grip better in the cold. Could have as much or more effect on traction on snow and ice than tread design. Also bias ply or radial might make a difference(?) All I know is traction on real REAL cold snow is never really a problem.
