it sounds like you are more considerate than most. i have no idea if this is possible, but could you show research on how it is a cultural something or other? like historical or ?
did they say you had to get rid of the rooster or the hens, too? if you can keep the hens, you might be able to have them pay a visit to another rooster somewhere. that is what a lot of people do with goats.
is there a certain number that would put you under the regulation?
that is one of the benefits of living in a bad neighborhood like i do. on about the same amoutn of property as you, i have three goats, two geese, a duck, five chikens, plus cat and three dogs. lol.
i gave my neighbors eggs from the start, even though it meant a lot fewer for me. i figured it was good business sense in the long run. also, i told people i would donate the first goat kid to the neighborhood for a bbq. not saying that would work in your neighborhood, just an example.
i have had past neighobrs give me HELL for little things (not animals but just as ridiculous) and make my life horrible. so, even iwth all the problems, i feel lucky here.
oh. and can you find out the noise ordinances? there are usually certain hours, like you referred to. and also, like comparing to a dog, they can't bark for more than fifteen minutes (or whatever) in an hour. i haven't heard even the most annoying rooster do that.
good luck. it sucks to have people get into your business for no good reason.