Would your parents let you to go to a therapist for the anxiety (regular not speech therapist), or are they just against dealing with anxiety at all? Just thinking that maybe if they are against medicating for it, they might be okay with other options? I found getting counseling helpful not because it fixed the stuttering, but more that it helped with facing difficult situations and giving tools to not spiral when things go wrong. Also, seems like if your parents aren't up on being on your side on this, it might just be helpful to have someone to vent/talk to about it. Just a thought.