And not the OS or programs, remove the hard disk and put the hard disk into another machine to get the data out.

http://bizsupport2.austin.hp.com/bc/docs/support/SupportManual/c01471739/c01471739.pdf shows the hard disk to be a SATA drive. If you don't have a PC that has a spare SATA port, go get an USB SATA case or a cable like this -> http://www.geeks.com/details.asp?invtid=2020&cat=HDD

Any good IT person has that cable (http://www.geeks.com/details.asp?invtid=2020&cat=HDD )

After the data is safe you can use the restore method you planned for.
Bob