For those cold temperatures, expect to remain plugged in to services since it will take a large amount of energy to keep anything warm.
I would suggest a car hauler style trailer with inboard tanks and double paned windows. The standard height ceiling in the living quarters will be easier to heat than the taller roof typical in a toy hauler. Although slides are available in the LQ, I would not suggest deploying them in extreme cold - Either find a floor plan you like without slides or one that allows use with the slide retracted. Connections to water and sewer will have to be insulated over electric heat tape to keep fluids going in out of the trailer from turning solid. If you plan to use propane, it will have to be in an insulated and heated compartment otherwise the regulator will freeze up and restrict flow.
I know of no mass produced trailers that fit the above description, but Millennium, In-Tech and Feather Lite could do a custom build with sufficient insulation to make this work for you. If you decide to go this route, also discuss roof load due to snow with the manufacturer. They can add additional trusses and spars that will bear heavy snowfall better than a toy hauler.
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