I always thought that not having to uncover and take it out of storage encouraged more use. We try to use ours at least once a month, year round. But to answer your question, solar will keep your batteries charged, even thru some covers or outside. If you get the foam spray underneath, most places for rodent entrances have been covered. That should address those concerns.
Due to the pandemic, my life now exists of only 3 days, yesterday, today, and tomorrow. Everything else has been forgotten!