As stated - DEPENDS on (in order)
1. as above, encryption = no go. You are hosed.
2. drive is actually really toasty, nothing to do with case = seek professional restore.
You can put it in another PC as a 2nd drive and try to see the contents and/or run the manufacturer's diagnostic tool on it. For running the tool, you may want to disconnect the main hard drive and boot to a CD that has the tool on it.
If you need the data badly enough, you can try to send it out for recovery. $$$$$