The entire state of FL will allow your EC (Unlimited) license to be inactive. It doesn't matter which county you are in. You'll need to pass the "State Certification" exam first, then once you are licensed you can choose to make it inactive if you want. But, if you keep it inactive too long you'll have to start all over!
Dept. Business & Pro. Reg. in Tallahasse is who you want to talk to.
Considering all of the yearly expenses it takes to keep an Active license/business in FL, it's not that much cheaper to keep it inactive, I don't think it's worth it. Just because you're licensed doesn't mean you actually have to do any work!
If you are talking about becoming a county "Registered" Electrician, you probably don't want to waste your time. They can only work in the county they are registered in, and many counties don't even offer Reg. Licenses any more. The State Cert. Lic. is the way to go if you are serious.
Good Luck,
Dave