Rats. I tried restarting again and this time it was trying to boot from the old data disk. So now both of the IDE drives are out of the system. It looks like I'll have to try some other way to recover the data. That external drive case with a USB interface just might be the trick because I can plug in the drive with Windows already running.
I'm sure I should be doing something to configure the BIOS to tell it to always boot from the SATA drive, but I haven't figured out that part yet.