Not exactly what your asking, but it made me think of a Netflix show In The Dark. It’s about a blind lady that doesn’t care and gets roped into a murder. It’s funny, dark, and insightful. I guess, approach your character as a typical person in situations that would be straight-forward for most but challenging for a stutterer. Avoid magical fluency cures, or stuttering only in high stress situations. Life is all the time and any cure is typical temporary.