Is the issue a lack of cash? That in and of itself will likely be a red flag to the prospective landlord. Do you currently lease? If so, did the landlord require a security deposit? If you don't plan to get it back, once again, be prepared to explain why (i.e. did you do something to the property that caused you to forfeit the security deposit). I assume you don't have any pets. If you do, then there is no way, in my opinion, that you will find anything.
Best of luck to you in your search.
You might want to try apartments.
Sometimes apartments run specials where they don't have deposit or can let you pay out over 2-3 months.
Right now we have never seen this with housing.
Any chance you can rent from new owner?