My sister in law had a coon that they kept in the house. Cool little animals, very personable, but they sure don't belong in a house! They eventually released it near a lake when it was much older to live it's coon life, but, it was a likeable addition to the family.
I agree with the trapping, but I've seen animals go through some pretty horrific death throws even with a shot to the head, so I dread when I have to do that (animal is suffering). If I have a live trap I would use it for what it's made for, catch and release and hope it isn't nursing babies somewhere. Take that animal to the woods near a creek and it will live a raccoon life as it should. Everything has a purpose.
Or be killed by the raccoon's territory it "invaded".