Hostal Britz is well located, cheap, and clean. It is definetly on the cheaper side as far as rooms go, meaning furniture and what not, but if all you want is a clean room with a bed and clean bathrooms at the end of the hall, its a nice place. It gets full very quickly, so either reserve, if you can, or be there first thing in the morning.
A place I think is really neat, is Hostal La Ninfa in Campo Del Principe in Granada, but it will cost you a bit more, though I am not sure how much. Try looking on line.
BK