Al is correct that it wont be easy,but if you would like to send me a messege I would be happy to send you Applications and Instructions so that you may see what you can do.....
Usually mortgage companies are not in the property rental business. Any competent realtor will be able to advise. but your should also be prepared to do a few actions that might induce an owner to go with you, having low scores and poor credit.
Take there there is a place and home for every person.
Your question isn't quite clear. Are you looking to lease a home, or purchase a rental property? In either situation, though, the likelihood of a successful outome is close to zero at the moment.
In the former instance, your best bet is to look in publications such as Craigslist or one of the local throwaway newspapers, and deal directly with the landlord. You'll find them more flexible. Those owners who list rental property with a Realtor expect applicants to have excellent work, credit and rental histories, since we charge a fee (usually one month's rent) to screen potential tenants and prepare the lease.
If the latter is the case, you'd need a FICO score somewhere at least in the mid-600's, in addition to a substantial amount of cash ... 20% to 25% down, plus closing costs and a six-month reserve to cover expenses on your current home. Today, requirements are particularly stringent as concerns investment property.
Realtors are reluctant to work with individuals who don't meet present criteria ... nothing personal, but the time it takes, and the amount of paperwork involved, is substantial, and would likely produce no results.
I wish you well.