I have an idea, what if you got a few straight run chicks or just order some males, raise them up, when they are starting to crow and might alert the Karen's, process them and get a few more chicks. You'd never be more than 5 months away from having a male who you could pop in with your hens, and if disaster doesn't strike, you'll be having some fresh home raised meat in the meantime.
Or if you wanted to hatch your own, get a cockerel, breed the hens, set the eggs, eat the cockerel, hatch the chicks, raise them, when the one you pick is old enough, repeat the process. Just always process them before you get busted. You'd have a juvenile trying to crow 2 or 3 times a year, the in between months would be just the hens making noise.