Bad Credit Potentail Tenant

[John Crawford DeBuys Freeman]

Just need some help with renting a house in a low income area. I've got a potential tenant that has a credit score of 563. They currently owe around $5,000 to various companies. They do make 3x rent as far as income and have a good rental history (However, they didn't make quite as much as they said). These things have been verified. I asked for a co-signer with good credit. However, the co-signer's credit is worst than theirs. I've heard varying opinions, some people say don't worry about bad credit in low income areas/some say you need to a little bit. I'm leaning towards rejection here unless they can find a co-signer with good credit. What would be a realistic credit score to consider "good credit" for low income areas and what is your opinion on this situation? Thanks for your help!