I'm not sure if it would work for your situation but you seem to be able to ssh into a server on that network? If so you can run a browser on that computer and tunnel the X session over ssh:
https://www.cyberciti.biz/tips/running-x-window-graphical-application-over-ssh-session.html
Otherwise neko seems neat, I've actually been looking for something for watch parties.
I'm not sure if the Gutenberg Press had only produced one readable copy for every 100 printed it would have been the literary revolution that it was.