Hey Christian,
Thanks for reaching out here, sorry you’ve run into some frustrations here. The /events page can indeed sometimes be hard to work with, but I’m curious if there are specific function calls that you could use to get a specific menu showing up on the main /events page? If Avada has good documentation, or support, you should be able to find this out.
If so, then you might be able to make some slightly-customized versions of the default plugin templates in your own theme. You can do this by simply creating a /tribe-events folder within your theme, then copying the default plugin views in the plugins /views folder, and then just adding that menu-calling function to your theme version of those views.
The best way to learn more about this system is to read our official Themer’s Guide here → http://tri.be/support/documentation/events-calendar-themers-guide/
And note that custom navigation menus themselves can be registered, created, and displayed wholly separate from the Avada theme, or any specific theme – if you haven’t already, definitely give pages on the WordPress Codex like this one a good read: http://codex.wordpress.org/Navigation_Menus
Let us know if this helps Christian!
Cheers,
George