Possibly Phantom of the Paradise (1974).
The radio spot you remembered (almost to the word!) would be that one:
They crushed his face, destroyed his voice, but they couldn't keep him from the woman he loved.
From RottenTomatoes:
Combining rock & roll, horror, and the classic tale of Phantom of the Opera this musical makes fun of all three. The story centers on an aspiring rocker who sells his soul to find fame and ends up horribly disfigured and living in the bowels of a popular night club.
Found with the Google query taglines "from the woman" site:imdb.com
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