>The freezer idea is actually proven and might work for you. If it's on a USB cable you could keep it in the freezer (or fridge part) while it's in use which might keep it cool enough long enough to retrieve your data.

Even placing the disk in a USB contraption may help by itself. I have a terabyte disk which, I thought, developed a mechanical problem, probably from vibration caused by loose screws (never have the right screws, do we?). I moved it into the USB box and it kept happily spinning for three years and counting. Probably the electronics in the box aren't asking too much of it, and at these lesser speeds it doesn't break a sweat.