I have a flatbed trailer (wandertec bongo) that I often use if there are decent roads for me to ride in/out on. Throw a large rubbermade tote on it, panniers on the bike, a rack for my rifle on the handle bars and I can carry way too much gear in, and a whole deer out.
Late season can be iffy. If you're a few miles in and you get a lot of snow on the road, it can be really unpleasant getting out, especially with a trailer.
Riding uphill with a trailer full of gear, or a deer, isn't that much fun. Definitely suggesting having non-hunting gear to wear while you huff and puff up the mountain. It can be 25F out and you'll sweat like crazy riding up and the minute you start cruising downhill that windchill will remind you about covering your ears with a nice hat. And gloves. And for those of us who wear glasses, the minute you stop moving, they fog up.
And it definitely helps if you can scout out some of these roads before you try riding them, especially if you have a trailer. Had a buddy tell me "oh yeah you can totally get up the road no problem." It would have been hell with just a mountain bike and no gear. With a fully loaded trailer it became an epic saga that nearly killed me. Had I seen this "road" before hand I'd have definitely packed lighter, or ditched the bike entirely. In fact, when I hunt there now, I just load up my game cart since this road is almost all uphill and sometimes steep.
Downhill with a full trailer is all fun and games until it's not. You really have to watch your speed. Sure beats dragging a deer out though! It's just a trial and error thing to figure out what works for you.