Well, I am that you found iodine! Yes, puberty is ridiculously young for a mammogram. Any age is ridiculous for a mammogram!
Are you taking companion nutrients as well? Selenium is VERY important.
Hang in there, it might take a while, but it works:) Have you noticed changes to your breasts yet?
Other things you need to do...watch your diet. Eat lots of fresh produce, drink lots of water. Stay away from all commercial meat and dairy. Have you educated yourself as far as sources of bromide and fluoride?
Watch your personal care products. Here's a good listing on what to avoid: