1700$ is a totally reasonable quote , just for your knowledge.Professional data recovery is expensive....They rebuild your harddrive in a clean room , substituting the busted parts.
Here's what you want to do ;
Get a machine thats werking , install
R-studio on that rig.
Shut that machine off , plug yer drive in, reboot it.
Run r-studio.Be patient it takes many hours.You may find it necissary to delete files from previous deletions.(yes it recovers deleted files too).....save the recovered files to new HDD.
Good luck.You might get it back , you might not.
If you have questions about r-studio , I'll try to help.