Even the snootiest, most heavily regulated (ordinances and neighborhood covenants) ski town/tourist trap in my state are now allowing hens because a year round resident went to the Select Board and asked for a reconsideration of the ordinance. It wasn't an immediate yes - the resident needed to...
Have you considered working on changing the ordinance to allow hens? It's going to be heartbreak when your covert coop gets discovered and you have to rehome your hens.