I put peanut butter and sunflowers seeds on sour cream container lids and then put those in the bottom of an old joint compound container. I then place that in the sink and use a lath, on which I lay a trail of sunflower seeds, to make a ramp from the counter up to the lip of the container. It works. I caught two mice with such a trap in the spring, and one of my sisters has had great success with a similar arrangement. So far, the one I'm after now has just eaten the seeds on the lath, but, hey, it's only been two days. He'll go for the treats at the bottom of the container soon enough.
The thing is, this kind of setup is only good when you're being plagued by one or two mice. As I said, if I were under siege, I'd probably resort to old-fashioned spring traps, horrible though they are.
You have my sympathy, Alex.