there aren't any quiet chickens, just less noisy individuals. And that is what it will come down to, the individual bird. I've owned some that don't make a peep and others that the people 3 houses down the highway can hear.
With the noise ordanance you really shouldn't have anything to worry about. Noise complaints don't count during the day in 99.9999% of cases and at night chickens are quiet unless something scares them. Even in cases where the chickens might be disturbing the peace, it has to be a constant on-going problem. IE not make noise for a while and then stop and then make noise again later. That is why people get away with those annoying dogs that bark all the time.