See
if GA will give you a temporary placard. Ask for an expiration the end of the month of your trip. You can't be the first person with this need.
You can search. You can get a placard in FL but I think it's a PITA
Edited to add I did the search 4 u
https://www.flhsmv.gov/motor-vehicl...-person-parking-permits-for-florida-visitors/
Edited to add YOU'RE MISTAKEN GA will issue both
https://dor.georgia.gov/disabled-persons-license-plates-and-parking-permits
A permanently disabled person may apply for both a disabled person’s parking permit/placard and a disabled person’s license plate with a
Form MV-9D Disabled Person’s Parking Affidavit by checking the applicable boxes. The vehicle owner information is only required when applying for a disabled person’s license plate. The applicable box on this form must be checked indicating the type of parking permit/placard or license plate being requested.