Then the Cochin is right for you, my dear.
I can't remember to be honest, but I know mine go broody more than they lay eggs. And only once did I let my cochin hatch out her own egg, and that was how Bootsie came to be.
I love the idea of a polish cochin!🤩
And as for mix breeding, I have a cockerel whose mother was a red bantam Cochin, and his father was a standard size, large Buff Brahma.
His name is Bootsie, and he is very sweet!