I'd probably drive it more instead. Heat, vibration, G-forces... critters might not like that. But a warm garage? That's asking for more trouble.
If you won't drive it, put traps in your garage and use rodent repellent spray or some people swear by these too:
https://www.amazon.com/dp/B08K2VZNCV...p_mob_ap_share
That insulation is soy based, that's why they like to chew on it.