I would say yes it is doable. I would like to do it but my wife says NO. Since there are no campgrounds open I believe the minimum requirement for parking would be to lease or purchase a lot that had electricity, water, and sewer and allows RV parking. I knew a couple several years ago that had a small lot setup for an RV in Fairbanks but don't remember their name.
So YES, I believe it is doable if the cost is not probative. As mentioned earlier a small building would be best, but any kind of cover or barrier would help.
You would need to insure a reliable supply of propane. Good luck with your venture.