
Honestly, I'd use a snap trap.
1) It could well be the same mouse coming back.
2) It's coming up to winter, it's cold out, setting him free could well be a death sentence if he can't find food elsewhere. Mice get cold quickly if they don't have somewhere warm to get to sharpish.
3) Mice are territorial - so again, setting him free could be a death sentence if he's in another mouse's territory (or again, could be another reason for him possibly coming back, if he's being driven out of another mouse's territory).
4) Mice can and will learn how to get out of humane traps!
I've had mouse problems here for a fair while now, the only time I finally started to get it under control was when I stopped releasing them and started killing them. Harsh, but true. Any females you trap could well be pregnant too, so if you release them and they come back you'll end up with a lot more!
And if you drive them far away and release them, then 2) and 3) are a much higher risk for the mouse. Not really humane.