I have never driven a locked rear end but have driven pos a traction or limited slip rear ends. I highly recommend them. Usually they are put on or ordered when the truck is new. After market very expensive. If you can find a used truck with that rear end go for it. The other alternative that was suggested is chains. I had a lot of experience with chains. In ice or snow and mud A two wheel will out perform a four wheel. The ultimate would be a four wheel with limited slip rear end with chains. Only trees over four inches and being buried will stop you. Oh yes two foot of snow will too but that's what plows are for.
My teen age years I got to practice all those things. I can still hear my father say when on occasion things did not turn out so well and I needed help. " I don't understand what you were thinking " edited- for colorful language.. Accessories are important also like shovel. planks,come a long, extra cable, short chain,axe, chain saw, phone, long range radio. flare gun..