I'll reiterate my opinion to begin calling, and were it me I would probably make an appointment with the Probate Judge. It's your business, but you have a case here with the law on your side. There have been several lawsuits filed and won against counties in Georgia over the last couple of years regarding this same issue. You might also contact Georgia Carry.org for further assistance.
O.C.G.A. 16-11-129
(d) Investigation of applicant; issuance of license; renewal.
(1) For both license applications and requests for license renewals,
the judge of the probate court shall within two business days following the receipt of the application or request direct the law enforcement agency to request a fingerprint based criminal history records check from the Georgia Crime Information Center and Federal Bureau of Investigation for purposes of determining the suitability of the applicant and return an appropriate report to the judge of the probate court. Fingerprints shall be in such form and of such quality as prescribed by the Georgia Crime Information Center and under standards adopted by the Federal Bureau of Investigation. The Georgia Bureau of Investigation may charge such fee as is necessary to cover the cost of the records search.
(2) For both license applications and requests for license renewals, the judge of the probate court shall within two business days following the receipt of the application or request also direct the law enforcement agency to conduct a background check using the Federal Bureau of Investigation's National Instant Criminal Background Check System and return an appropriate report to the probate judge.
(3) When a person who is not a United States citizen applies for a license or renewal of a license under this Code section, the judge of the probate court shall direct the law enforcement agency to conduct a search of the records maintained by the United States Bureau of Immigration and Customs Enforcement. As a condition to the issuance of a license or the renewal of a license, an applicant who is in nonimmigrant status shall provide proof of his or her qualifications for an exception to the federal firearm prohibition pursuant to 18 U.S.C. Section 922
.
(4)
The law enforcement agency shall report to the judge of the probate court within 30 days, by telephone and in writing, of any findings relating to the applicant which may bear on his or her eligibility for a license or renewal license under the terms of this Code section. When no derogatory information is found on the applicant bearing on his or her eligibility to obtain a license or renewal license, a report shall not be required. The law enforcement agency shall return the application and the blank license form with the fingerprint thereon directly to the judge of the probate court within such time period. Not later than ten days after the judge of the probate court receives the report from the law enforcement agency concerning the suitability of the applicant for a firearms license, the judge of the probate court shall issue such applicant a license or renewal license to carry any pistol or revolver unless facts establishing ineligibility have been reported or unless the judge determines such applicant has not met all the qualifications, is not of good moral character, or has failed to comply with any of the requirements contained in this Code section. The judge of the probate court shall date stamp the report from the law enforcement agency to show the date on which the report was received by the judge of the probate court.