From 2004 to 2009, the National Endowment for the Arts launched a program called Operation Homecoming. The program asked members of the military and their families to submit essays about their experiences in the military. It was an open call for any story and experience. The NEA received 1,200 submissions from around the world.
The program did not specifically target people suffering from Post Traumatic Stress Disorder; however, it did encourage this audience to work through their experiences through writing. The NEA set up writing workshops on military bases around the world to help servicemen express themselves through writing. In 2006, the NEA published Operation Homecoming: Iraq, Afghanistan, and the Home Front in the Words of U.S. Troops and Their Families. The anthology is comprised of 100 submissions. You can read some of the submissions here.
The program is not currently active, but, according to Public Affairs Specialist Sally Gifford at the National Endowment for the Arts, you can learn more about the program or submit your essay “for placement in the federal archive” on the Operation Homecoming website.