I put the Cooper AT3's on last winter and I thought they did terrible in the snow. I am putting goodyear wrangler duratracks on this winter because I've read great reviews on them for the snow. i have a 14 Chevrolet silverado
The Duratracs are a great tire, Ive had luck with them on my suburban. They did not wear great on my 2500 Duramax. I have Hankooks on my Duramax now but cant tell you how they are for snow as I run studded snows. I will tell you they are no good in the mud. While hunting last year in Illinois I thought several times I wasnt getting out of the field.
Michelin LTX M & S. If you want a more aggressive tread the Michelin LTX A/T.
Michelin's are expensive, but they are hands down the best tire on the road.
They are worth every penny. Have them on work truck and personal truck and work truck just hit 44k and they look brand new. They get rotated every 4k with oil change but have sunk them in mud on job sites and deep snow and they walked right out. They are also a nice ride on the highway.