There is a separate tracked 4x4 section you might want to check out.
www.forumsforums.com
Honestly we need to know more about your exact needs>
-Do you need to drive through 4ft of fresh snowfall, or is that simply to total snowfall at your cabin? (Big difference)
-How many people/gear do you need to haul?
-What's the gradient like to your cabin?
-What truck do you have to haul your snow rig?
Some initial thoughts, if all you need is cabin access for 1-2 people and some gear, a UTV with snow tracks or a Samurai with Tracks is easily your best option assuming the trail your cabin is semi regularly run by people or groomed. Especially if you already own a UTV why not just buy a set of Camso tracks for $3k used and you're good to go?
Trail condition is the huge factor here however, if you really need go through 4' of pure powder especially up a steeper grade, than only a wide tracked cat can do that effectively, something like a Thiokol IMP or DMC 1450, or a ST4 with wide tracks will drive through powder all day long, and are easy to haul even with a 1/2ton truck. If snow conditions are generally really packed or if you have sled traffic to and from the area next to your property than a UTV tracked 4x4 is probably all you need.
ST4s in particular can still be found in Alaska, there also seem to be a fair amount of military Weasels for sale there as well, they're not necessarily the best in lots of powder, but if you need a rock solid platform to do all sorts of work and haul gear they're great.