Three Sundays to Live (1957)

Band Leader Frank Martin is accused of murdering the shady owner of the club where he's performing. He is innocent of the crime, but his only alibi is Ruth Chapman, a sexy blonde singer who was with him at the time of the murder. When Ruth disappears, and cannot be found, Frank is tried, convicted and sentenced to death. As the time for his execution draws near, his fiancée Judy and friends search desperately for the missing woman.