I figured something like that but as I said, I don't see how that would work. Remember, when you erase or delete a file, it isn't really deleted - those storage locations are simply marked as available and the data can still be recovered with most any undelete or file recovery program.
If you know the person you are sending it too and trust they are not going to intentionally start snooping around, then even a simple quick erase will be enough to keep someone from stumbling on anything. And as soon as they start using the drive, chances of any recovery will quickly go down. If you think they might be the nosy type, then go with a full format. With it being a 12TB, it will still take a few hours.
In the meantime, if you open a command prompt and go to the root of the drive, and enter del *.* /s, that will (should) delete all your files in all subdirectories too.