Ah - this is a question fraught with ancillary questions! When you say 2-3 people including stove, do you want survival only, or reasonable room? Is the ability to stand up important - especially important if you have a back problem, You say weight isn't important, but canvas tents are heavy to cart about and put up, and even heavier to pack away, especially if wet. Drying then becomes an issue.
Ditto with stoves. Lightweight (titanium or stainless steel) or heavyweight - cast iron? Both have pros and cons. Good quality iron stoves - see Fourdog ones as a notable example - are well built and have good draft-control. They retain heat well, and will keep a fire alive longer than the lightweight stoves. They are relatively cheap and will last well. (note that some of the cheaper (thinner metal) iron stoves actually will rust out very quickly if not looked after well, and you'll need to insulate the bottom of the stove with sand/earth to avoid the bottom burning out). Titanium and Stainless steel stoves are much, much lighter, much more resistant to burn-through, and pump out heat very quickly. On the downside, they don't retain the heat for as long, and cost much more.
So, lots to look at! What temps are you looking to use it at? -25C and lower, you're looking at specialist kit. How long? The longer you're in sub-zero temps, the more you'll need the drying provided by a stove. How are you carrying it? With a canvas/iron stove set-up you'll need transport - and your snowmobile will need to pull a sled!
Youtube is your friend here. Some things to look for include,
-tents. Seekoutside, Kifaru, tentipi, Helsport are all good tipi-style tents. Arctic Oven tents, Snowtrekker.
- stoves. Seekoutside, kifaru, Snowtrekker, tentipi, Hlsport, Fourdog, Hillpeoplegear, kni-co.