For what you want, Deb, your planning couldn't be better. Late February's influx of travelers to the Sunshine State can turn the interstate thoroughfares into vehicle-clogged quagmires. Back-roading is a great way to see lots of interesting and beautiful flora, meet lots of terrific, laid-back folks and the slower pace is enjoyable, too. I second Elaine's reminder to plan plenty of time to loaf around in the Keys; from what I recall, traffic meanders through it...there's simply no way to rush from point A to point B. I remember thinking we might have simply walked faster through most of it, but it was a great experience anyway. While in the Keys, we went out on a boat and into the sea for a fabulous skin diving adventure that I'll never forget! Great fun...I can't wait to visit again.
Hetty's area is fabulously beautiful as well...it's definitely worth the drive up there, if you have the time.
Definitely pack tall sturdy boots and long pants if you're planning to do any serious nature hiking. Snakes really are a threat, and with the thick undergrowth you oftentimes can't see them to avoid them. The fellas might share their tee-time with gators, too, which isn't out of the ordinary day-to-day scope of things...at least it wasn't when I lived there.
...and above all else, don't feed the gulls!