My Australorps, BR and Cuckoo Maran would fit 4 of your five requests. None of these have gone broody, but I have enough silkies to drive me crazy doing that. However, when they're not broody, the silkies lay every other day. I'm sure most of my big girls are hatchery stock and I've heard that hatchery stock don't go broody as often as non-hatchery. The CM is my best layer and my next best is tied between one of the Australorps and the BR. Another thing to consider is how much noise they make. The CM and the Aussies are quiet, but definitely not the BR.