Is Tiny House living in a cold climate good or bad for the planet?
...off-grid house, build a small, off grid-house. Build it as small as you can comfortably and legally get away with, and put it on a well-insulated slab-on-grade instead of wheels.
If you want to cruise the highway with your home in tow, don't reinvent the wheel, buy an RV. They are designed for exactly for this purpos...