I think a lone goat would be fine as long as you let it in the house.
Edit: too funny!  I love the goat and the dog!
Here's a cute story:
Once my husband was driving down the street and he say a pygmy goat racing toward him on the side of the road, with a pit bull and a mixed-breed dog in hot pursuit.  He pulled over and was turning around when he saw an Animal Control officer, so he jumped out and told the guy that a goat was in peril down the street.  The Animal Control officer zipped off in search of the goat and dogs.
About a week later, my husband was once again on this same street, and running toward him at full speed was the mixed breed dog, and behind him was the pit bull, and behind the pit bull was... the goat.