What to do about mice

[Justin Knighten]

We have a cabin in a wooded area that we're Airbnb'ing.  The cleaner let us know that she found mouse droppings.  If it were my house, I'd set a trap and deal with whatever we catch.  I'm hesitant to do that here for fear of kids snapping a finger, or someone freaking out over a dead mouse in a trap.  I'm a little hesitant to use poisons for fear of one dying in a wall and stinking the place up.  What are some solutions you guys use?  

I'd love to pull a Paul and just put a rifle in the corner and charge extra for the entertainment value of shooting them, but the insurance guy said "no".