"tunnel not found" sounds like a ngrok or network issue - not a JATOS issue. I'm also not a ngrok expert. But to clearify the issue: Can some of your participants run your experiment on JATOS and other cannot - or is it that no one can run it?
"JATOS timing out of my log in session" is no problem. This is just your user automatically logged out after some time for security reasons. But it does not affect the ability of participants running your experiment. No user has to be logged in for participants to be able to run experiments.
Anther thought: if your university has static public IP addresses (many universities have) then you might be able to use this IP to distribute your experiment links.
Best,
Kristian