Not all cats are good hunters, bad idea (IMHO).
Dave you have to use the "killer" traps, baited with (as noted above) peanut butter.
The "sticky" rat traps work as well (baited with a few small dabs of peanut butter),
but again you'll have to "look 'em in the eyes".
Wish I was closer, I'd take care of it for ya.
My buddy Billy had a run of mice in the studio, moved into the console; shorted it out!
Be quick, be ruthless, treat them like the vermin they are.
Everything has a place in the cycle of life, but your studio is NOT the place for mice.
I try to be a "live and let live" guy, but I have my "limits"...
T