Thanks for posting the
video update.
I have 15 white leghorns and 1 Ameraucana rooster. The rooster was given to us and he really does keep the hens in line. They don't meet any of your criteria but those hens will lay an egg each, every day from April to October and the other months, I get about 8-10 a day. Occasionally 11-12 if it is a nice sunny day.
I'll be interested to see which you choose and what your
experience is with the breeds you decide on, once you have kept them a while.