It's a bantam rooster and there's lots of land between your houses? Sounds rather nit-picky to me. I have several roosters, standard and bantam. When the neighbors quit using that darn tractor to cut their huge front lawn every Friday (so loud we have to shout to hear each other up here on the hill), when they quit having drinking parties, shooting guns at 11 p.m. (what can they even see at that hour??), racing ATVs, jeeps, motorcycles and trucks up and down the road on holidays or when the son of the owner gets a wild hair and has his buddies over, then I'll think about trying to shut my roosters up. Till then, they have nothing to complain about. This is the country, for crying out loud. I expect some animal and machinery noise and so should they. I have no idea why rooster noise is in some special category all by itself.