Mount the drive under a Linux disk like Clonezilla and make a sector-by-sector copy. That way you have a copy to mess with and not the original. I don't think you can stop the default Windows process of creating a hidden Recycle Bin folder in each drive, but many Linux systems (like Puppy Linux) will not touch the drive with a write operation until you tell them to.
EDIT: My bad I was responding to a different post. However, if you boot your Windows machine with a Puppy Linux disk, THEN insert your external drive, you can delete the recycler and move your mp3s to your drive without getting any unwanted files written to the drive. Then you can remove your mp3 drive, remove the Puppy disk, and reboot to Windows without too much hassle. I don't know of any actual way to stop the hidden recycler file from being thrown on the drive, but this would work around it.