I lived in a deed restricted neighborhood. I could not move out of there fast enough. I found that there are people that just LOOOOOOVE to use the deed restriction rules as a cudgel to beat you over the head with. Not to mention state or county rules they can get their hands on to use. I found it is like a hobby to some people, to get in other people's business.
In a neighborhood, there is NO WAY you are going to be able to keep these chickens a secret. They can be noisy sometimes, and not just roosters. Some of them, when they lay an egg, seem to want to let the whole world know. They'll start bagalking on the nest, in the coop, then they'll come outside and bagalk some more. Then, of course, sometimes one of her friends or two, will join in with the celebration. I get a kick out of it, and think it's kinda funny. But you can just bet, there will be some a-hole, that's gonna have their sensibilities assaulted, and are going to take offence, and will just HAVE to do something about it.
My suggestion, MOVE.(That's just what I did) Move to where you can do what you want. And that's getting harder to do, as it is. You'll save yourself a lot of aggravation and frustration fighting against the machine.
Jack