1) Buy external (USB) hard drive of > size and format it so its ready to go. 2) Create a bootable Linux USB stick. 2) Remove hard drive and stick it in the freezer for a couple of hours. 3) When you remove the drive from freezer immediately stick it in laptop and boot to USB thumb drive. 4) Copy as much data as you can while the drive is cold.
There's a chance cooling the drive will not make a difference. Many times it does though. For at least a short amount of time.
Failing that you can send it off and they'll disassemble and try to insert the platter(s) into another drive and get the data off. Not cheap though.
(post is archived)