I think the bottle trick is worth a try, but do not use a live mouse.
Cornered animals can be very dangerous, and if the mouse reacts violently to the introduction of a snake into that small of a space, the snake may not be able to back out, or escape if it makes it in all the way.
By the time the mouse is subdued you could have a mortally wounded pet. Try frozen/thawed and let it sit overnight. It'll get a little ripe but it shouldn't stink up the house right away
If you're going to have a heat pad out, put it beside the bottle, not underneath. With the pad underneath. the mouse will decomp at a much faster rate and produce lots of nasty bacteria, plus the bottle will become a heat trap and your snake may die of heat prostration before you can rescue it.
--edit: left out half a sentence somehow