Option #1: I know I personally have a lot of spare hard drives lying around gathering dust... perhaps you have a friend like that? Then you just throw in the drive, backup all your data, and you're golden.
Option #2: If you (or a friend) have an external hard drive, backup to that.
Option #3: Get a USB transfer cable. I personally own this one (http://www.amazon.com/gp/product/B004GIGNVC/) and I'm rather pleased with it. That way you can directly transfer your files onto your laptop.
As I mentioned previously, the test /does/ say it's fine, but again, your problems are mechanical and that's not something a SMART test can see.