I also would recommend a park model and not a motorized RV. Anything with a motor needs to be exercised and you will not be moving it. You can get a park model with better insulation or add insulation. Or you can get a well insulated trailer or fifth wheel. You will need to enclose the bottom to keep the pipes from freezing. You will need a lot of propane. Make sure you can get propane service to the property. Get a large external tank. You will need to put heat tape on the water supply and on the septic lines. You should consider a way to provide a small heat source under the park model or trailer.
You can live year round in a cold climate but it takes something that is well insulated and some prep work. You will be paying a lot of money in propane costs.