I have the Cooper ATs in 275/55/20 on my Tahoe. Works fine in the snow and ice here in southern NH.
I have always been a fan of BFG AT's
I haven't tried the most recent version, but the version before they went with the fancy tread pattern on the sidewall is fantastic.
Long tread wear, and excellent traction.
Even in Snow, and decent on ICE.
I'm hoping they didn't change the tread depth like they did to the long trails.
Those long trails came stock on my S10 and lasted about 100k miles.
I had cooper studded snow tires on a spare set of wheels for my S10.
Those were absolutely fantastic for the first two years.
but after what I can only describe as flaps or fluffy ribs on the tread wore off, they were not nearly as good.
Still better in the snow and ice than the long trails, probably because of the studs.
I would use the coopers again for sure, just limit their use to actual snow weather.
Spare set of wheels and an easy/fast way to swap them on for max life.
the AT's are fantastic everywhere.
I didn't bother with studded tires after those.
The S10 went through 3 sets during it's long life (IIRC)
I also had them on my old K5.
Plan for the hoemare is to get a set once the current trash it's wearing wears out.