What do you think will happen to a house mouse stuck in an unknown location outdoors miles away...
Humane is a good sprung bar mousetrap. I've had one go off literally seconds after placing it behind a box and going to leave the room. Dead as a doormat just like that. Never had one suffering on me.
Whatever you're comfortable doing though.
It's valid point. For me though I don't believe I have the right to end some things life because it's inconveniently taken up residence in my house. I did make sure my captives were released near some farm outbuildings and good cover. Their fate is in their own hands (paws?) - I'm giving them a chance, whereas a mouse trap is no chance. Live and let live!
I think an animals instinct is to survive, and a mouse (or any animal) would always want to escape rather than die. Sometimes this will work out, other times it will cause more suffering. Sometimes the most humane choice is to end the life.
But I think a mouse has a fair chance of survival in a park at night with bushes and shelter, which is why I chose that option.