In my job I work to help people become eligible for Medicaid. There are a lot of different kinds. For a person your age you have to have a qualifying disability or be pregnant, you generally have to be considered disabled for Social Security purposes, then if your income is below $665 per month(varies by State, I work in Montana), and your assets are below $2000 you can qualify. You should apply for Social Security disability. If you get turned down you most likely will not qualify for Medicaid, although there are exceptions. People with mental illnesses that are not severe generally will be seen as being able to work and not qualify.
Applying for benefits is time consuming, and requires a lot of back up paperwork. I have some people who applied in June and haven't heard yet. It doesn't hurt to try just be prepared to spend time on the application, provide the supporting documentation, and wait.