Level 2: Pulpwood
I’ve seen and heard that smaller sized tracked dozers can work pretty well for winter harvesting. I’m looking at an old Oliver oc-3 in my area for similar purposes, they’re small, around 25hp, usually 6ft ish wide on the outer tracks for an example. Its a small enough unit that they’re not overly invasive or damaging, similar to what you’re going to be doing with a tractor.
Also another option would be a front (or even rear) mounted snowblower, its not like you need to clear snow to ground level so if you keep it positioned up off the ground a ways to avoid debris you should be able to clear workable paths.