No backup of the stick from any point in the past?
How about emails from limetech? They would send the key file to your email when you purchased it.
If you exhaust your local backup and email archives, send an email to support, I'd list at the minimum all your current keys that you do have, the emails used to register them, and the approximate date you purchased the license in question. If you don't provide them with a way to differentiate what is in use and which key is lost, there is a possibility one of your live licenses could get blacklisted.
Once you recover a copy of the .key file, it's trivial to attach it to a new GUID, that can happen automatically with the help of a wizard. So if you do happen to find the key in your archives, just set up a new USB stick, put the key file in the config folder, and boot it up.