Yes, you can use your Florida address as a registered agent address for your business in Florida.
You must make sure you are creating a SavvyNomad business account, or mail items sent to your Florida address could be returned to sender.
In addition, for sending mail items for your SavvyNomad mail service, make sure you complete your 1583 document for your business (no need to have a separate 1583 for personal use).