Not every psychiatrist refuses to treat ADHD in individuals with past addiction issues. As was said above, you’re more likely to have addiction issues by not treating the ADHD.
Now, the question of what to do about your parents. I think , as long as you live in their house, you’re trapped by their beliefs. I don’t condone their behavior, but I do understand their fear of dependency with your history. I wish they’d be more open to sitting with a professional and working out how to treat ADHD safely. It may very well come down to you moving out so you can live your life on your terms.
ADDitude Community Moderator, Parenting ADHD Trainer & Author, Mom to teen w/ ADHD, LDs, and autism