Hi David, here's a link to a tutorial for making a Check Image adapter:
https://docs.q2developer.com/docs/tutorials/adapters/check_image/index.html
You should also be able to make a Statement Image adapter if needed.
I can look into whether we have customers who already have a connection to Synergy. But I wouldn't be able to give you specific technical details of those connections. You'd need to get docs from Jack Henry directly.