My advise would be the following: "Don't put too much weight on your stuttering while making this decision" I majored in engineering thinking that I wouldn't have to speak a lot and in the end I realized that any job in which you have to work in a team involves a lot of communication. In the end it is more important to find a team of coworkers that you feel comfortable with. Of course, I would have never thought of becoming a journalist or something like that, but setting aside those jobs that involve a LOT of public speaking your stutter isn't going to be a major issue in any career that you pursue.