DR Powerwagon is my solution
I also have a DR Powerwagon, and for the same purpose. I have a 6 acre woodlot, but no real trails. Being that small, I'd rather leave it as untrampled as possible.
The DR Powerwagon works well for me. Its real nice because it can pull right up to where you drop the tree and load it right up. No rolling or dragging wood to a path. The power tilt helps with lifting bigger rounds.
Works great in the spring when the ground is still frozen, but the bulk of the snow is melted. It's not as great in the mud, and even worse in deeper snow.
I tried an ATV with trailer, but still need turn-around space, so not nearly as maneuverable. With the DR, you can navigate almost any footpath, and it turns on a dime.
I use some vertical 2x4's to stack wood over the sides. With that, I can fit most of a 14" tree in 2-3 loads. With 16" lengths, you can fit 2 rows, plus a little space for odd pieces.
Its a walk-behind setup, so still plenty of manual work to gathering firewood, but if you don't want to cut paths or roads, there aren't many other options. For me, burning 3-4 cords/year to supplement oil heat, it's an elegant way to save some oil money, and keep the woods in good shape.
Has a lot of other uses around the property too. My wheelbarrow has a flat tire and I haven't missed it for a year now...
With DR you can send it back if it doesn't work for you. They seem good to work with, and for me they are the home town heros here in Vermont. I got mine at a factory sale for almost $1000 off list. (was just about $2K with the full package).