Dear Mr. Boyer,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the series Publications, 1904-1974 and the series Records of the Technical Library, 1942-1982 in the Records of the Bureau of Naval Personnel (Record Group 24) that may contain the manual you seek. The series Technical Reports and Related Documents in the Records of the Naval Ship Systems Command (Record Group 344) contains some NAVPERS records from the 1940s that may be relevant. The series Records of the Naval War College Battle Evaluation Group in the Records of the Office of the Chief of Naval Operations (Record Group 38) contains 5 files related to submarine training in the 1940s as well. These records have not been digitized. Please contact the National Archives at College Park - Textual Reference (RDT2) at firstname.lastname@example.org for more information about these and similar records.
In addition, we located the Government Publications, 1861 - 1992 in the Publications of the U.S. Government (Record Group 287) that may include the manual under the Department of the Navy (N) [Pre-1947], Bureau of Naval Personnel (Publications) SUDOC classification N17.2:CT. For assistance with these records, please contact the Archives Information Library Center at email@example.com. A local government depository library also may be able to offer guidance. For a listing of U.S. Government Depository Libraries, please consult the Catalog of U.S Government Publications (CGP) website.
Due to the COVID-19 pandemic and pursuant to guidance received from the Office of Management and Budget (OMB), NARA has adjusted its normal operations to balance the need of completing its mission-critical work while also adhering to the recommended social distancing for the safety of NARA staff. As a result of this re-prioritization of activities, you may experience a delay in receiving an initial acknowledgement as well as a substantive response to your reference request from RDT2 and ALIC. We apologize for this inconvenience and appreciate your understanding and patience.
Please note that most government records are in the public domain; however, some of our records may have donor, copyright, or other restrictions. If the records have been described in the National Archives Catalog, restrictions will be noted in the individual descriptions.
Finally, we suggest that you contact the Naval History and Heritage Command (NHHC) for further assistance.
We hope this information is helpful. Best of luck with your research!
Just for closure on this request for a NAVPERS publication: I found both the first edition and the second edition original publications on eBay for less than $50. They now sit on my library shelf.