Good evening Greg,
Just a quick note to let you know that we have been working hard with the WPML team to increase compatibility between our plugins. You can read all about it here: https://wpml.org/build-multilingual-events-websites-events-calendar-wpml/
Full disclosure, there are still a few things that are not quite to our liking yet (we will iron those out shortly).
In the meantime, I believe you will be glad to see that you can now use the Classic Translation module that fixes almost all issues related to Venues and Organizers (provided you upgrade to the latest version of everything and follow the instructions found in the article – you might have empty WPML’s cache and re-save your permalinks).
Give it a spin and see how you like it.
Have a great day!
Geoff B.