You can also try putting it in the freezer compartment of your refrigerator, in a sealed freezer bag.

After it's cooled down, take it out, hook it up and immediately transfer as many files as you can. If you don't get to the end, redo and start from where you ended last time.

This is a time tested technique.

I've used SpinRite for years and it DOES work well. Of course no software is perfect, so results vary. Avoid any disk recovery scheme that depends on using the operating system ie (Windows) that created the file structure in the first place, which likely is part, if not all of the reason for the disk's data not being accessible. IF the disk isn't physically damaged, ie most commonly won't spin up (you don't hear it or feel the vibration if you CAREFULLY place your hand on it while its running, there's a good chance your data or most of it isn't damaged.

Software like SpinRite is written mostly or entirely in assembly language (at the machine level) and doesn't require a operating system to read/write data. They work (be it very slowly) by reading one hard drive sector at a time which should allow in most cases for data to be recovered and the better ones rebuild whatever file allocation or index the particular OS uses to access data. The downside, especially with today's super sized hard drives is the "recovery process" can literally take days and you can't use your computer for anything else while its recovering.

BEFORE going the recovery route make SURE that it isn't a problem where you have cross-linked files or lost clusters or with NTFS some damage to the index files. I don't have the link handy, but there is one or more Microsoft Knowledgebase articles that give step by step instructions on tweaking more advanced disk check routines and also for rebuilding the index that may be all that's necessary. If your file system is NTFS, I've posted once or twice how there is a little known hidden routine in XP that starts a very elborate recovery process that takes hours. Sorry, don't recall how to bring it up.