We learned that lesson the hard way, with a meat bird rooster(s) dying from the heat here. They apparently wouldn't drink water when it was hot, and we weren't prepared for their reaction to the heat. (They were given to us.)
After a little research, I got EE, and small breeds, that do better in the heat. Not the worlds best layers, but hopefully with "enough" of them to lay eggs, we'll have enough for our family to eat and have around.
Our one Rhode Island Red hen does okay, but she really suffers in the heat compared to our bantam and cochins.