If you're in default on your Stafford Loans, then its possible you will not qualify for a private loan. Private student loans typically have strict credit requirements, and the default and identity theft will most likely make you ineligible.
However, you do have some options. If you apply with a cosigner with good credit, you may be able to qualify.
Additionally, you should take care of the default on your record. Here are some ways you can go about remedying that if you haven't already: http://studentaid.ed.gov/repay-loans/default/get-out
I hope this helps!