Hello,
You can select countries/categories of which to send this type of email and create another for others -> http://prntscr.com/y9uh5p
If it is not what you are looking for then you should try to find the solution when you are not using email builder firstly if it is possible. For this, you should disable email builder and contact WooCommerce plugin support with this question you wrote about different email names for different emails and let us know about their thought.
Regards