I'm a snowcat guy, so take what I say with a grain of salt; maybe a large grain....
Have you noticed that the vast majority of pictures of vehicles on tracks are on flat, or relatively flat, ground and the snow is no more than a foot or so deep? That tells me their capability in deep snow, or on steeper terrain is limited at best.
Several years ago I was at the Utah Winter Sports Park (site of several 2002 Winter Olympic events) and saw a Polaris Ranger on tracks for the first time. I was a pretty good customer of a local Polaris dealership and called their head sales guy for some information. The first words out of his mouth were "It's no snowcat". A few years later I bought a used Polaris Ranger on tracks from a neighbor and took it to the same place a friend and I test snowcats. The Ranger's performance was thoroughly underwhelming. Thoroughly! Where snowcats had no issues whatsoever, the Ranger kind of churned its way through the snow. It pretty much struggled, and that experience was such I sold the Ranger without really ever using it again. A year or two ago I watched a youtube video of a couple guys with RZRs (or similar) machines on tracks in the snow on an ungroomed trail in Michigan. A simple journey turned into an ordeal, and watching that video just reaffirmed what we had experienced firsthand.
That Ranger had cost the neighbor a tad over $31K and I bought it for $10K. That's huge depreciation for a machine just a few years old, and without a lot of miles. If you buy a used snowcat in good shape and don't overpay, assuming you maintain it and take care of it, you won't be eating thousands of dollars of depreciation every year.
There is a lot of logic in using the right tool for the job, and from your description a snowcat is the right machine.
My opinion only...