My choice would be a North Face VE25. It has long been a standard for climbers on Denali and other severe environments- rated for three persons and four seasons. I slept (well kinda) in a storm with 80 mph winds (on Denali). I later purchased several for a project on the Channel Islands, where they held up to strong winds quite well. This model has no provision for a stove and heat comes from adequate garments.

For a tent with a stove, I would look to Kifaru, but I have no experience with their extremely good (and pricy) products.

Dagny's comment about spending 8 to 12 or so K on a trailer raises the question of allocation of resources. For a budget hovering around 10K, I could fill a small van with adequate, versatile gear that would serve better than a trailer which after all, is confined to roadways. The core would be minimalist hiking/backpacking gear, fleshed out with weightier options. Personally, I would be inclined to throw in a bicycle. If I needed to leave the vehicle, the bike could carry me further with more gear and less effort over paths less travelled, which could be crucial in an emergency. If I had to leave the bike, i would still be a lean and light backpacker, getting 10 to 20 miles per day.
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Geezer in Chief