I skied the Winter Sierra High Route in the winter of 1992. For tents we used a combination of 8'x8' four-sided floorless pyramid tents erected over 2-3 ft. deep square dugout floors and using the snow bricks removed from the floor areas to make 2 ft. walls around the base of the tents about 6" outside of the dugout area. We used ground sheets on the floor. There was a 2 ft. wide trench/doorway which we closed off with a Hefty bag hung from a ski pole. The center of the pyramid was held up with 4 adjustable ski poles coming up from the corners and meeting in the middle. We used our skis for stakes. We fit 4 people each into 2 tents. We hung our canister stove a couple of feet down from the crossing ski poles at the center. The tent only weighed about 4 pounds, so it was 1 lb. for each person. Which was darn light back in the day before silnylon and cuben and all that.
I think this kind floorless arrangement works well if you're willing to carry a collapsible snow shovel and do the work of digging out the floor area. Just sitting on the snow a floorless tent will be worthless in the wind. So if you don't want to do a lot of digging, go with a double wall tent with a floor.
On the same trip I used a Feathered Friends sleeping bag with a Gore-Tex shell rated to -20* F. I absolutely recommend a sleeping bag with a totally waterproof shell, as it is your ultimate survival cocoon. If you can't get the tent up in time before a storm, or if your tent gets trashed or lost, or if there is lightning striking around you and you don't want your tent poles to act like lightning rods and you're wet and cold, you can strip your wet clothes and crawl into your bag just about anywhere, even if you can't find a flat spot and have to hunch up next to a boulder or between some rocks, and survive. I have had to do this at altitude a couple of times when a thunderstorm struck while we were above 11,000 ft. One time we even slept all night through a snow storm, and woke up with a couple of feet of snow over us. We slept on our sides so the opening in the sleeping bags were not facing straight up, and every 1/2 hour or so we would have to reach out of the hole with one arm to brush away snow for a breathing area.
BTW, if you know how to ski at all I think you will have much more fun on telemark or randonee skis with climbing skins. They climb as well or better than showshoes, they float much better in soft, deep snow, they can be used as tent stakes, they can be lashed together with ski poles in between to make a rescue sled, and they are much, much more fun when you turn around and head downhill.