Sorry to hear that you have to find a new place to live. I grew up RVing and my parents just sold their last motorhome a few years ago. I can't think of worse place to live in winter. They are great when the temps are mild, but they are not insulated very well and it's always a struggle to keep them warm in winter.
Since your house is sealed in, why not get the water and power connected? that would take two weekends. Set the toilet, and focus on getting the shower done. You really don't need anything else. Water can come from a temporary sink. a folding table works for a kitchen with a microwave. A fridge can go anywhere, and laundry doesn't take anything to connect. Once you have the basics done, you can spend the rest of your time moving everything and getting settled in.
Don't spend any time finishing anything off, just get the house so you can survive in there. This can easily be done before your deadline. I'd probably put a sheet of plastic over the bathroom so you can heat it with a plug in heater, but otherwise, just do what you need to use it, and don't spend any time making it nice. Do that when you are not rushed.
Then focus on one room at a time. Finish the master bedroom first. Then move into there and work on another room. Go from room to room, and it will go quickly.
I've done this twice. First time was when I got divorced and I didn't have any water hooked up inside the building. Just a hose outside to drink out of, and bath from. It was a good motivator to get things done!!!!! Second time I had 4 months to clear the land, bring power and water in, and build my house. I worked by myself and I was living there in 4 months, but I only had one spare bedroom done and a bathroom. It took me 2 more months to finish off the interior, and ten years later, I'm still working on the exterior. I could finish it at any time, but we keep making changes and adding on, plus I get distracted and do other projects that come up. It's very doable with the time you have available.