I would just cut its head off with hedge trimmer, fast, done and it doesn't suffer. I have never tried freezer. Did read somewhere that the humane way to kill a mouse is to put it in a small jar and it runs out of air and just 'goes to sleep'. Well lets just say that did not work well and the poor thing suffered awful. Never again. So now if I get a mouse in a trap that isn't dead (usually breaks their little legs ect if they don't get their head in it positioned correctly), I just put it in a sandwich bag, seal, and then drop a solid concrete block on it. Super gross, but I feel it the best method for offing the mouse in a real fast way and it doesn't know what hit it. That is what I want, fast and faster. I HATE to trap a mouse and see it hurting. It really bothers me.