There are a couple of things you can do. 1. You may ask the landlord if you can put down a higher security deposit and show them a track record of on time payments such as cell phone bills, electric etc... 2. You may be able to have a co-signer as well and that would be the easiest way. I would try not to go to 10 apartment complex's or landlords just to have them all pull your credit report. That could bring your credit down. If you have several pulled reports in the same 14 days it usually doesn't affect your score but you never know. I would call the apartments ahead of time and let them know upfront what your credit is, and find out what their guidelines are for renting. You can also pull your own credit report free at myfreecreditreport.com and then take it with you to show them. I hope this helps you and good luck :)
Best of luck.