Found a few links.
I don't know where you're located, so these may be way out of the way.

Some look more like the small cabin trips mentioned above, but now I'm fully locked on the idea of staying in a yurt or something similar. <img src="/images/graemlins/smile.gif" alt="" />

Aspen Expeditions

Colorado Hut to Hut

Huts.org

Appalachian Mountain Club

Alpine Club of Canada

Sawtooth Guides (Idaho Yurts)

White Mountains, NH

The Colorado Rockies seem to be where the most hut to hut opportunities are in the US, but there are some on the Appalachian Trail in the Eastern US, some in Alaska, and others spread out across the country depending on terrain and season.

My son & I went camping with his troop at the end of October and again in mid-November. Both were cold enough to be considered winter camping (40-45 degrees midday, below freezing at night), but there was no snow in the area at the time.

It actually rained the second night of our November campout - the rain was frozen on the tents in the morning. My son had left his boots outside his tent. You live - you learn.

I find that my feet get cold at night. Maybe its an old age thing as I didn't have this problem when younger. I've tried two different mummy sleeping bags - one by Marmot rated to 15F and another from Cabelas rated to -20F. It can be brutal if I don't put wool socks on before turning in for the night. BTW, I really like the Cabelas Summit bag though it is HEAVY compared to the Marmot bag.

Last March (and again this coming March) we camped in a cabin two wood stoves. Those stoves make a huge difference temperature-wise. We had lots of snow outside, which was fun.

I've stayed at several of the AMC huts in the White Mountain National Forest in NH. They are great for doing a traverse type trip, where you want a reasonable hike each day, but, a nice dinner at night and hearty breakfast the next day to get started. (The food is usually pretty awesome). It makes your pack a lot lighter. Instead of carrying a full tent and food and cooking gear, you take more of a day pack, plus survival gear just in case you have to spend a night out. In the winter, most of the high huts are either closed, or self service, so it's a very different scenario. The huts along the AT in New Hampshire are all about a day hike apart, so it's perfect for travelling a little lighter. Many of the popular ones get very crowded on summer weekends, but, spring/fall, and mid-week are ok. My son loves going up to Lakes of the Clouds hut.

We're doing a winter weekend camping trip in 3 weeks. We'll be camping in adiriondack shelters, which are basically simple three wall structures with a slanted roof, open front, and large fire pit just beyond the overhang of the roof. There are usually wooden bunks on each side that you put a pad on and then lay your sleeping bag on top of it. You can either keep a decent fire stoked through the night, or rig a tarp across the front of the shelter to close it in. I use a pretty decent 0 degree bag, with a fleece liner, and a bivvy sack on the outside when I am in this type of setup because you are out of the weather, but, not out of the cold.

In a hut, sometimes the woodstoves are heating the place to a point where you could get by with much less. I have literally been sweating in the huts, and wished I brought a summer bag instead of a winter bag, but, you have to plan for the worst scenario. Camping in a cabin, or hut is going to be a lot warmer than an open shelter like we're using, or a tent, but, they are all fun. Have a great time!