You have some serious confusion and misunderstanding going on here.
Florida issues only a single type of permit, and it doesn't matter too much if you move into or out of florida. (They want you to keep your address on file with them up to date, but that's fairly easy.)
There is no non-resident license, only a license issued to a non-resident. Moving out of state does NOT make your permit invalid.
The real issue is whether Georgia will honor your FL permit if you are not a FL resident.
As I read the information on Handgunlaw.com, "Georgia Honors Non-Resident Permits/Licenses From the States They Honor." They DO honor a FL permit.
Reading further, at
Georgia's Firearm Permit Reciprocity | Georgia Department of Public Safety I found that this applies only to "A non-resident of Georgia", so things are a bit muddier.
While you may have to wait a bit to apply for a GA permit, you should be legal if you are not yet a "resident of Georgia". I think I need an aspirin, and you need a lawyer.