Honestly I belive that associating that medication with the thing that magically makes your speech normal got to have a big fingerprint on your mental. I'm a stuttered as well, I didnt find my magical cure, but weed gave me addiction in the sense that I associated happiness and joyfull times with weed. This, when I started, gave me bad anxiety when I didn't have weed. Maybe finding that cure will make my or your stutter go for the moment but Idk how sustainable is long-term use of benzos is and when you dont have them that feeling gotta make your stuttering problem way worse, that combined with withdrawals. Stay safe and happy. Understand how this speech problem is indeed very difficult to fight becouse it's giving you mental scars, but understand that this is a vicious cycle. If you always think about stuttering you will always be anxious and if you are always anxious you will always stutter. Even tough it's verry hard to forget about it at least accept it as it is, and know that the real nice people and good friends will never make a big deal from your disability. Live and peace