I have same type house, In the past I would set out mechanical traps under house or in out of the way locations to kill mice rats. Also check to see if there are opening that can be closed off with hard wire. Setting out kill bait will cause the rat mice to die in attic or wall and will smell for a few weeks.
My lease states I'm only responsible for termites. I just try to resolve issue because the T don't care about the long term damage to my property.