I've acted as my own GC on four separate remodels, one of them a whole-house remodel, but never for an addition or new construction. I don't know Walton County rules but I don't believe they differ dramatically from those in my portion of the state, though there are slightly different standards and building codes everywhere.
For our whole-house remodel, which involved plumbing, structural and electrical changes, I had to have the entire project approved on my own; I stood in line, met with planners, came back with new solutions to their concerns, and paid for and pulled the permit on my own. (I do not believe there were residency requirements; I just had to be the owner of the property.) That permit covered whomever I hired for structural changes -- the guy I used for those alterations worked for a contractor friend of mine and was not licensed on his own; however we followed the inspection schedule and I oversaw every single decision that was made. It worked out well, but in hindsight given that he did not have his own license or insurance, it probably wasn't the smartest thing and I don't think I'd do it again, now that I'm about 5 years wiser.
The electrician and plumber I would never compromise on -- they were licensed in the state of Florida (and county) and fully insured, etc. I believe that they pulled their own permits for their work because they were the ones who scheduled their inspections; though I was present for every one since I was staying at home with my toddler.
With a roofer it would have been the same situation -- I would have expected them to do their own permitting and inspections, though when I have had a re-roofing done I went up on the roof with the county inspector and looked at the flaws in the job myself.
In short, I am anal and I was there every day, and I could not have been successful otherwise. Given my experience -- I did projects for eight years -- I would never, ever try to build my primary residence while living out of town, even with a general contractor, because I know what can go wrong. I would certainly not attempt to serve as GC while living anywhere but a few blocks away. Also that kind of thing depends on steady labor, and labor in Walton County is hard to come by. Not to mention materials. Sorry to be so negative about the possibilities, but I think unless you have a lot of experience and know details about the ability and availability of local subs, you might do better in the long run finding a contractor to build for you. I don't know the ins and outs of the Miami-Dade coastal building standards, but I imagine their existence would not make things much easier.
Maybe others here can offer some better local perspective. I bet Camp Creek Kid knows a bunch of stuff I don't.