Hi Uli,
I know it seems like an odd thing to do, but it is needed more often than you might think.  I don't think the published applications mode would solve my issue however I will give it a try.  I have submitted the issue to Zoom but so far nothing happening with it.  Honestly, its an edge case and probably not something most people would run into.  Right now I am doing the same as what you suggested with the fullscreen app and sharing the whole X2go window on my laptop.  It works but isn't ideal.
Stephan, Sorry I can't figure out how to reply to your message in digest mode.  The X20go was just a typo, sorry!  As I mentioned to Uli I will try published application mode and see if that works for me.  The web client doesn't work for hosting a meeting as far as I can tell, it just tries to launch the desktop app.  I know I can join a meeting with just the webclient, but I don't believe I can share a screen with it.  I'll look more into it though and see.
Thank you for your responses!
- Justin