My 95 gets stored outside every winter for the last 6. 6 months storage each time. First year, I put it on jack stands (axles in the back, control arms as close to the lower spindle as I could in the front. Tires stored inside. Stabil in fuel tank. Battery stored in garage. Block heater plugged in (we do see 40 below here during the winter). Car did great.
Every winter since then I've been a lazy ass and parked it in the garage-tent, left the wheels mounted and car sitting on the ground. Pulled the battery inside, plugged the block heater in, threw the cover on, and checked back in six months. Car did great!
Moral of the story: My Nitto 555Rs didn't have any trouble being stored on the car with full weight on them in subzero temps. Your results may vary.
If rodents are a concern, I can't recommend anything other than a big ball of steel wool in the exhaust. Never personally experienced it, but heard war stories of nesting well up in the exhaust. Not sure how much damage that would do, but it could sure be a real pain to clean up.