Fried HDD Recovery

hello everyone  , i need some help with my fried harddrive.

I just got done putting together a custom build with 1tb hdd and 128 ssd, i was going to transfer all my important documents, pics, software, etc that were saved on my old hp that was getting replaced, which had a 500gb hitachi. After spending a few hours organizing the files on the hdd, i was finally ready to transfer it all to my new pc via my cm 690 ii advanced's x dock at the top. i hooked it up, fired up the pc and was greated by a pop and a burning smell, only to discover my hdd was fried.

After inspecting the x dock, me and my dad discovered that the 4 pin power cable that hooked up to the case's front panel where the x dock is located. Had the little pins inside in the wrong order which wern't lining up with the correct colors on the 4 pin on my powersupply. This most likely happened when we were sleaving the cables. We believe that due to them not be aligned to much voltage might of been applied to the Hdd.

Now i have read of different forms to try to recover lost data of a fried hdd, but the problem is that when ever the fried hdd is installed on the hp the comp will not power on. (will power on when its not installed)
And for fear of something happening to my new pc, i dare not try to see if it will do the same thing on my custom build.

Any advice on how bad the hdd might be fried? there doesnt appear to be any physical signs other then a little black square which seems to have exploded or melted. and does anyone know of a work around for the shutting of problem or a different way to recover the data other then going to a specialist?

Thank you to everyone! greatly appreciate it!

P.S. the data is not priceless but it is super important, the file that i was going to back up was 130gb folder, which was a mix of softare, documents, Pictures, and videos.