When I was in rural Japan, we had a little mouse eating through plastic bags in our cupboard and eating crackers, grains for baking, etc. My wife wanted it gone, but we didn't want the poison-dead smelly mouse in the wall problem.
So we got a Japanese mouse trap, which is the same as their giant bug trap, but bigger. Those who spent some time in Japan might say, "oh, you mean a dog," which is often what you need to get rid of the giant insects. But I mean the square, sticky cardboard that will trap just about anything.
We planted the trap with peanut butter in it. Snuggled in our nice warm bed, we sudden hear a clatter. I rose to the kitchen to see what was the matter, and a huge rat was stuck by the head to the trap and flailing around the kitchen. I told my wife a small but determined mouse was caught, and suggested she let me deal with it.
What do you do? The rat bared his or her teeth at me, and I took action. I filled a large bucket with water. I managed to push the rat into the water and shove a lid on the top. As the trap became waterlogged, the rat's flailing slowed. After 10 minutes, I decided it might be dead, but was left with the problem of disposing the "small but determined mouse" my wife didn't need to see.
So, I got dressed, and hiked into the woods, where I chucked the rat and its attached trap therein.
Good luck.