On my main Girl Scout blog, I shared information about a free patch program for Girl Scouts of all levels, including Daisy Scouts. Please do not fear the term "mental illness", as it covers everything from ADHD to Post Traumatic Stress Disorder.
The International Bipolar Foundation has a free program, with patch included, to help promote awareness of mental illness.
You can read about the program in this article.
The updated 2017 patch program can be found here.