By no power, do you really mean that or just that the drive is not seen by Windows? Jumpers have nothing to do with the power that gets to the drive. If the drive is plugged in, do you feel the vibration of it spinning up?
Sounds like you tried to to just about everything you can without replacing hardware. It may be possible to repace the boards on the drive, which is way cheaper than data recovery. Check ebay for boards, but make sure you get the exact same model ones for your drives. If you want to head in that direction.