Silkies go broody a lot, I hear cochins do to. I have also heard good things about black australorps, dark cornish, and old style RIRs. Muscovy ducks go broody all the time if you want a broody bird other than chickens. Heritage turkeys also go broody often.
I never leave any eggs in the nest boxes and that doesn't stop them. If they are going to go broody they will regardless of eggs in the box.