Hi! Welcome to BYC!
I'm also in a hot area, but way drier. I think the polycarbonate panels may trap too much heat in the coop.
There's the
coop and run section of the forums that might help a lot with your design.
There's also
this article by
@3KillerBs about their coop in North Carolina. And
another article about ventilation. Both were super helpful for me!
Replacing the polycarb with wood or hardware cloth might work out great for you.
Edit: Oh yeah, and check out the search function in the top right. I've found it so valuable to search for stuff and see how other people have solved the same problems I'm facing. Not just the forum posts, but the articles as well.