I think you should buy some tires that can be replaced with a small tire lever or two. There is debris on the side of the road and you might have a flat, or might not. I used tires that have some flat protection but not a lot, Schwalbe Marathon (with Greenguard) when I rode Florida Keys (and Everglades). I had one flat, picked up a construction type staple somewhere in Big Cyprus.
If you are changing a flat where you are near the traffic, you want to be able to do that quickly and get rolling again. For example in one of the photos, I would not want to stand there for a long time fixing a flat. For touring, I always carry two tubes, just in case. Plus a patch kit.
I was there before Irma, I have no clue what it is like now. Mosquitoes were really bad in Everglades, but I do not recall if I ever even used repellent in the keys or not.
You said unsupported, I recall before I went there I looked up the locations of the two major grocery store chains (Publix and Winn Dixie) so that I knew where to buy groceries, so I could plan that better. Often grocery stores were not close to camping sites.
I was there in Feb 2017, had a great time. But it is winter, short number of hours of sunlight every day.
Great sunsets.