A little disappointing how rare people bring up Araucanas, but, ohwell. Cochins and Silkies are only considered the most broody because they're commonly available, especially through hatcheries and 4H showers.
American Gamefowl, Araucanas, and just about any non-hatchery bred breed will go broody VERY frequently. This includes most heritage breeds, Langshans, Oriental Gamefowl (Shamos, Asils, Malays, etc) Ameraucanas, and so on.
My Araucanas would not go by a year without setting eggs at least once, at most, well, probably about 4 times if I let them. They're also very good moms, and even the roosters make excellent fathers.