Jack Livingstone wrote four (to my knowledge) books about his deaf detective, Joe Binney, which I quite enjoyed in the 1980s. The series was brought to mind after seeing THE SOUND OF METAL, about a musician going deaf. A deaf musician is certainly a more serious handicap than in a detective but Joe had to work around his deafness too. He was not born deaf but acquired it in the Korean War. Anyone else read him?
1982: A Piece of the Silence
1984-Die Again, Macready
1986-The Nightmare File
1987 Hellbent for Homicide (also known ad Hellbent for Election)