Do you have anyone who could act as guarantor? Some private rentals don't credit check.
Sharing from experiences of dealing with debt
The greatness of a man is not in how much wealth he acquires, but in his integrity and his ability to affect those around him positively.
Bob Marley. http://kallis3.blogs.iva.co.uk
Try private landlords who do not usually credit check. Other than that, as Kallis says, try a guarantor or offering rent in advance or a higher deposit.
My opinions are merely that .. opinions based on experience. Always seek professional advice.
IVA Completed 23rd July 2013 .... C.C. 10th January 2014