moving brood box -- good or bad?

Today was very warm and humid (88* and very hazy). I was worried about mama hen and the day-old babies, so I carried their box (x-small kennel) up the hill to our house and put them in the shade under a tree where they could get some air. I should mention that the coop is in a low spot in the lee of the barn; it’s great for our windy winters, but can be stifling in the summer.

Now they are in a large dog kennel because mama needed leg room and we needed room for the feeder and waterer. I really don’t mind carting the kennel up the hill every day (and down every night), but my DH says this is not only unnecessary but possible harmful.

What to do? We usually have a month-long stretch of miserable weather right about now and I am concerned about the little ones.