Did you try to bake it in the oven ("reflow")? Sometimes you can add a few more hours to its life, enough for backing it up.
Never tried baking a drive (ssd or hd), but I have with a red ring'd xbox360 mobo.
Sometimes the "low tech" solutions still work.
I've also had some hard drives that you could bring back to life by giving them a firm knock with your knuckles too.
Doesn't really answer much, but it's a last ditch effort that has saved me more times than not.