I used a glue trap once at our camp. They actually work by suffocation. The mousie runs through, gets stuck, then struggles and gets all caught up and exhausted but can't breathe once his sides, belly and face are stuck down. Not very humane, but a pretty clean way to handle them since you just pick up the whole disposable trap and toss it (you are supposed to fold it into an open triangle-shaped tunnel thingy, not lay it flat).

The trouble with the one I used is I got a shrew, not a mouse. Shrews hunt and kill mice so that wasn't what I wanted. All the snap traps I ever used never got a shrew so I won't use a glue trap again. Shrews are good, but don't let one bite you as they are slightly venemous. That's how they can easily kill the larger mice.