Reaching out to the coaches can only help your app get noticed more. Thats exactly what my son did and in the end he had coaches advocating for him as well as the AOs. Reaching out shows that you take the initiative which is a great quality for a teen. Keep the emails going and visit the schools during their games. Make sure you give a quick hello to the coach AND asst coach AFTER the games as this will help you stand out.
My son is having much success at Lville and still says hello to the coaches from the other schools that wanted him whenever they compete. They remember him because he did the things I’m suggesting you do as well. Best luck to you!