Dont forget you can petition the board for an exception or variance, citing domesticated farm animals on similar LOCAL properties. Therefore what you are asking is not stretching the realm of reason. Tehy may come back with a rediculous number like 4 chickens, B/C THEY only have 4 cows or some such. Stay iwth reason, and dont get too hot under the collar, if things go against you for a time. Usually persistance and reason will pay off.