I spent a summer working at a camp in a really remote area in BC, and we had a huge mouse population. (They would crawl on us in our sleep...

) Anyway, we would catch 10 or more per night, in a really basic, homemade trap. However, it's not a live trap, and it's not for the faint of heart.

If you're desperate, you can try it.
Basically, we (meaning the guys... I stayed far away from the mouse traps...) took a 5 gal. bucket and stuck a wire across the top with a soda can threaded through it. The soda can had peanut butter on it to attract the mice. A little piece of wood would rest against the side of the bucket, to make a ramp for the mice to walk up. And the bucket would contain several gallons of water. The mice would walk up the ramp, attracted by the peanut butter, and then try to step out onto the can to eat it. The can would spin on the wire, and the mice would fall into the water and drown.
Effective, yes, but not for the faint of heart.