I used to have a wonderful Barred Rock hen for about 4 years and she was an amazing layer laying very large brown eggs almost every day. She was also fairly docile. She did like foraging when I free ranged them but that wasn’t every day and she tolerated confinement well as well. I could also pick her up. She wasn’t a super lap bird like my Australorps were but she also wasn’t overly flighty either. She was just amazing, honestly. Oh and she tolerated the heat fine as well as the cold. But we don’t get near as hot as you guys do down there (I’m in Massachusetts). But still. It does get quite hot occasionally plus very humid at times and she tolerated it just fine. I think as long as they have water and shade they’re good.
Then I also had another Barred Rock briefly, a cockerel, and he was amazing as well. I hatched him out (not from her eggs LOL) and raised him to about 8 or 9 weeks old before a predator unfortunately got to him

but I would have kept him if that hadn’t happened. He was so docile and I could hold him and handle him and everything yet he was respectful still. Of course he was a little young yet to know how he would turn out but still. He seemed great at the time. I ended up keeping one of his hatch mates, a Lavender Orpington, instead. But yeah.
Anyways, I would HIGHLY HIGHLY recommend Barred Rocks. Fantastic birds.
That said, I will say though, that I ordered a
Partridge Rock several years later after my wonderful experience with my first Barred Rock and she was
NOT the same LOL I just found her… lacking in personality I guess???? And she was somewhat mean to the other birds. And personally, I didn’t think she laid nearly as well. But I also had more birds by then so I can’t be sure but yeah.
So I would recommend BARRED Rocks.
As for the New Hampshires, I can’t say as I’ve never had those but I HAVE had Buff Orpingtons, Black Australorps, a Delaware, Easter Eggers, and several other heavy, “fluffy”, breeds and all did perfectly fine even on the 90+ degrees, high humidity days in the middle of summer. So I imagine it would be the same for the New Hampshires but again… can’t say for sure since I’ve never had them.
Hopefully someone who HAS will come along and comment and maybe correct me if I’m wrong which I will gladly be corrected on this as I wouldn’t want any birds hurt or killed.
But to me, WATER and SHADE are the keys. They may pant a bit or open their wings, dig a dust bath in the cool dirt, whatever, but mine have always recovered once it cools down. And they usually don’t move much in the heat of the day either.
Hopefully all that helps and sorry for the novel.