I have plowed a lot and can tell you go with a limited slip/posi only. A
locker or even a "Tight" posi can cause headaches. Hard turning, binding which forces wide turns. Sliding sideways with even a light load due to both wanting to slip. You'll find yourself having to steer with the blade angle not your steering wheel.
My 90 Wrangler had a trac lock limited in the front, it took almost no gas to lock both wheels. Which in turn meant "Hammer down" and steer with the ass end. Always fun through a crowded intersection. From 20 mph to a 55mph power slide. Yeeee haw!!! (I loved it, but my wife just drove it in 2 wheel.)
Locking the rear end can also be a bear if the slope is icy and you have an auto. In gear means posi on ice, which means sliding sideways no matter what you try. I have had to back up in my well equip 79 F150 4x4 about 1/4 mile since it was the only way to make it on wheel wonder at idle. I would put it in gear and she would just slide straight toward the lake..................
Depending on the snow fall you get makes all the difference though. I am used to snow in late October and sometimes you don't see the road again till late March mid April.
My advice, nothing works like a great set of studded skinny tires with lots of "sipes" and limited slips. Chains are the best but I never used them due to the pain of installing them. (And you can't haul a$$ when ya want too

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