Dear Mr. Craig,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located Logbooks of U.S. Navy Ships and Stations, 1941 - 1983 in the Records of the Bureau of Naval Personnel (Record Group 24) including digitized deck logs of the USS Benner (DD-807) for 1965.
We hope this information is helpful. Best of luck with your research!