[Tristan Lall]

How important is the data contained? If it's absolutely critical stuff, paradoxically enough, don't touch it, don't even boot with that drive. Send it out for (expensive) data recovery. (This is often necessary for businesses for whom the cost of recovery is less than the cost of replacing the information.)

If it's not too important, then take Nate's advice and recover what you can manually, and save elsewhere until you replace the faulty hardware.