v1.4.0 adds the ability to download the JSON file representing the game state, at any time, from the web interface. That's in a link in the left sidebar, down low.
Also, I'm giving a better error message if there's a problem processing the game JSON in some way (e.g., a chart fails to build), and asking the user to download the JSON file and upload it to a new github issue.
This will give users some recourse when they encounter issues like 156 .