Yeah i was in this same situation a few years ago. Basically there is not much that can be done. You only option is to go to your financial institution and see if you can put together some sort of private loan and use the funds from said loan to pay off your private student loan debt. May even be able to get a pretty good rate. If you do this though, the new loan is considered personal and you will not be able to deduct the interest on your taxes as can be done with student loans (both private and govt. funded).
-J