Not knowing your overall financial picture nor your credit score--visit with any qualified loan officer(s), see if you do qualify and exactly what your budget can handle--then go from there.
Your claim of "no proof" that you were on worker's comp is a little hard to understand. You should have checks from workers comp or some other kind of "proof" in this sense.
You typically need a job to get a loan. Bad credit is usually not a problem. Don't worry about Fannie Mae and Freddie Mac since you won't deal with them directly -- they package up large pools of mortgages to resell to investors in the so-called "secondary market." Your main interest would probably be FHA, which could help you get a home with a low down payment.
Contact local banks to see what they say, first of all. The loan officers there will tell you about different programs and what you need. Requirements differ by program. But again, you will probably need a steady source of income, first and foremost, and you'll have to prove it somehow. There are very, very few options around these days for "stated income" loans.