Many years ago a group of us lived in a rented house, surrounded by fields and had a mice problem. Someone put down a trap, it went off and there was a mouse, badly injured dragging the trap across the floor. Had to hit it with a shovel so decided not to it again.
I then arranged a large wooden box with hinged lid upside down on floor. I removed spring from trap, cut slot in arm, screwed trap to inside of lid. Then piece of string with loop placed in slot, string then went up through hole in box to hook in ceiling then down and attached to top edge of box. Length of string adjusted so gap between lid and box. The string then pulled up on the arm, Mouse then went in to the box, activated the trap, arm lifted, loop came off arm and box dropped, trapping the mouse. We then drove the mouse to a derelict building about a mile away and released it.