As to mice and rats - the chance of getting rabies from them is negligible, anywhere - they usually end up incapacitated and dead through predation extremely rapidly.
I’ve been bitten by all of the above. No treatment beyond dousing the wounds with peroxide.
The closest a mouse ever came to killing me was when it pushed a rock out of a wall in the hovel in which I lived, which smashed the headboard of the bed a few inches from my skull.
I feel like this is all something that has been pushed by the American insurance industry. Again - 43 deaths in 50 years. Negligible.
If you really cared about risk management, you would never, ever get in a motor vehicle, and you would have insurance for putting on your pants in the morning.
Like so many things, rational risk management is overtaken by fear and emotion.