Hi Chris, welcome to the forum....
There are a few other guys here from S FL. Hopefully they'll share what they can grow in our heat.
I'm in central FL near Orlando. It's still hot here too, maybe a few degrees less..
This will help some...Here's a planting guide from UFL ...
http://edis.ifas.ufl.edu/vh021

The shade, like in the video will help 'some'. It's our night time tempts and humidity that can play havoc.

Rain...yes, we can get a lot every afternoon....try to keep some of it out of your system. I've placed green house plastic over top of my shade cloth.

Squirrels....I didn't know they ate tomatoes.... They love cherry tomatoes. I used some bird netting, stretched over the frame. They could chew their way through, but they don't seem to do so.