I see so many questions like this about winter storage and like a certain part of our anatomy, everyone has a "better" idea. For many decades I owned boats specifically inboard cruisers. My winterization consisted of draining the fresh water system and changing the oil and filters. Period. The boat, and the truck in question, won't be out of commission long enough to worry about any degradation of fuel and even the ideas on wood under the tires doesn't make sense to me. I would put my boats away with whatever amount of fuel that was in the tanks from near empty to filed up. NO stabilizers, no special treatments and no fogging of the fuel system. And in the spring they ALWAYS started without complaining. This past winter I was fortunate to be able to keep my Miata garaged and out of the weather. I put it "away" at some point in the fall and would occasionally take it out if the snow was melted and there may have been some rain to wash away the residual road salts. When the weather was right and the last of the snow seemed to have gone, the car was ready to rock and roll. All the long term storage ideas I see only make sense for sure LONG TERM, i.e. years, not a few months. Heck, when your vehicle was brand new before it's first ownership, how long do you thing they sat? Dealers and manufacturers don't worry about any sort of long term storage and some vehicles can actually sit for a year before getting sold.
As far as critters are concerned, I've seen lots of suggestions to keep them at bay as well as an almost equal number of people who experienced critters no matter what they did, including one who put his vehicle on a lift, 6 feet above ground, and found a nest under the hood when he brought it down in the spring!