I started this reply and soon learned that the steps and are more than I type out
I traveled the road on TWO different trips both during January only we did it in a two car convoy both times. First don't worry about gas everyone needs gas and some yes close but our motorhome has a longer range than any of the car or van we drove.
I would thank that heat inside the couch would be limited from the dash, looking at a possible -20 or even - 40 as we did on our trip south leaving Fairbanks, I would check to see just how much propane is needed to run both of my heaters 24/7 with a more amount for cooking and hot water We have nice heat in holding tanks but I would thank they wouldnt hold up under those temps but one could add heat pads to tanks. But you would need electric power, and running the generator 24/7 is possible as we have during summer travel thru the south when wife needed AIR
Your real trip would In my view start in Calgary Canada, until in my trips Fairbanks.. 2000 miles, at 35 mph in your MH, that's about 57 hours drive time... And in the dark... Lol. Just came to mine that , oh ya don't forget the shorter day light, this is a 5 day trip with 12 hour drive days, our generator needs 1/2 gal per hour at least so you would need 3/4 save factor, all cars need a engine block heater of some type and your MH also, plugged into power during hours of off time. Generator would work that, generator budget 18 gal per day, cost 1.35 liter, fill up tank OFTEN, sleep after fill up and fill up again when awake.
You didn't say anything about TOWING a car... Lord
I only really see only one issue, the damn snow....
It's the snow on the road that builds up on the edges, making the lanes smaller. And this will cause you to drive even more into the center. Chains wouldn't help the snow and the heavy couch is in my view is enough,
My daughter just drove out our old 1997 gas class c Winn, this past July moving to Va.
If I was going to MOVE up north again ( spent 9 years in Fairbanks ) I would give it thought with the following ideas,
Move to AK alone until summer, drive up together summer
Fly family up, YOU drive alone, maybe faster and less stress alone.
Other than following some upgrades to the MH, heat pads, engine block, plenty of gas for generator, I would do it.
But I'm pretty sure I would do it, hay just to prove the NA SAYERS wrong, if you go alone give me a call, we could do it about none stop
Pictures are not mine