The real problem in the scenario that you describe is your credit score... 611 is a little too low for any legitimate lender (that I know of) to offer you a home loan. Especially with an FHA loan.
There are several lenders that will grant you a loan with a credit score as low as 620. However, your interest rate will be somewhat higher than average, and the closing costs you incur will be somewhat higher as well.
A minimum credit score of 640 is the score you want to shoot for. And, if you can get it to 700 or so, you will have no trouble finding a lender. Especially with a debt to income ratio of only 15%.
The good news is that, with a little bit of work and due dilignece, you should be able to raise your credit score to a more acceptable level in as little as 3 to 6 months.
Just pay all of your bills on time, and in full (if possible) every month.
And, if you only need to establish a credit history, a pre-paid (you deposit monry into an account for future spending) Visa or Mastercard. Shop around with you rlocal banks to find one with low costs.
I hope this helps.