12 hens housed in 6 pens bred to one rooster in each pen and the roosters rotated or moved each year or every clutch of eggs, coupled with judicious and I should add RUTHLESS CULLING and smart picking of brood stock will banish all problems with inbreeding.
The most important thing is ruthless CULLING. The next most important factor is ruthlessly CULLING the right individuals. Because when you begin to breed any animal you are in effect playing god with that animal and with its DNA. Where most people go wrong is when they neglect to play god in a ruthlessly enough manner. You can not become emotionally involved with your chickens. If several chicks in a clutch are unable to hatch without human help lets say, what makes you believe that these weakling chicks or even their brothers and sisters little less their mothers and fathers are good brood rooster or brood hen material? What about that chick with crooked toes or a cross beak? The same thing goes for pampering or doctoring sick birds. If you are unable, unwilling, or to kind hearten and you shy away from playing god in this manner then in my humble opinion you should not be breeding chickens, especially if you intend on selling them to other people who will simply watch them die.