The acceptance of your credit score depends on the individual landlord when it comes to rentals, drive the neighborhoods and call the for rent signs that interest you and negotiate your lease w/ that landlord.
When it comes to rentals, just like all real estate, it's all negotiable.
You may be required to pay a larger deposit or get a co-signer if your credit score is low. Most owners do run a credit check now. An individual who wants to rent their property may be a little easier to negotiate with.