Ahh.. the dreaded click of death.

I have a weird, potential fix for you. When you have exhausted ALL other means... try this. Put the drive in a Ziplock, remove all air from bag... and put it in the freezer. Let it get fairly cold.
(The ziplock keeps it from condensing when you take it out.)Then have your computer room as cold as you can get it and pop the drive in the enclosure.This will sometimes "fix" it long enough to get the data off of it.

Some say it doesn't work on newer drives... but I have seen sooo many comments to the contrary.

Here's a video to the contrary.

Perhaps you could try placing the drive right next to an air conditioner vent or such.