I did some research. All the heat tolerant only breeds are flighty or non-hearty.
The only hearty, non-flighty chickens I found were heat and cold tolerant. These also do well in confinement, but prefer a large pen and some free range time.
Egg production is weekly average and can vary from hatchery to hatchery, as can broody behavior.
Brahma; 3 eggs, broody.
Delaware; 4 eggs.
Naked Neck; 4 eggs.
New Hampshire Red; 5 eggs, can be broody.
Rhode Island Red; 6 eggs, hens can be aggressive to other breeds, I will find out myself, as I have 4 Rhode Island Reds and 4 Barred Rocks as chicks nearly 6 weeks old.View attachment 2729528
So far they get along.
Barred Rocks are people friendly, they come to me and I can pet them.
Rhode Island Reds are slowly coming closer to me but I have yet to pet one. GC
The Naked Neck's can go broody too! I just rehomed my NN/Breese mixed hen that went broody 2 times this year already. She was a good layer when she wasn't trying to go broody, and layed large eggs.