NARA says nothing about potential Kameny files and instead the agency suggests I search the source notes of David K. Johnson's book "The Lavender Scare: the Cold War Persecution of Gays and Lesbians in the Federal Government", and they sent those notes. Unfortunately, Johnson's sources don't state if he used documents held by NARA in what he wrote about Kameny. From the reply:
The records are open for public viewing and there are no access restrictions on them.
Since these files from NARA listed in the volume are widely dispersed, we cannot undertake the extensive research necessary to examine the records and identify the pertinent documents. Our staff can assist researchers with their work but cannot perform substantive research for them. We will make the records available in our research room so you or your representative can examine and select documents for reproduction.
We will be pleased to make the finding aids to these records available to you or your representative in our research room at the National Archives in College Park, MD.
I turned to a gay researcher long familiar with NARA, Michael Dolan, who until recently resided in Washington and now lives in upstate New York, for his opinion of the reply and suggestions to comb through the archives: