I spent a few minutes this afternoon talking with Bomgar about how to call the Bomgar client from BSA.
This is easily done with Custom Commands, just like the out of the box Terminal Services (Remote Desktop) command line. Will be testing this in the next couple of weeks... Try it in your environment and make sure to change the server.example.com to the name of your Bomgar appliance (hostname).
Name: Bomgar Command (web-based)
Name: Bomgar Command Line Sample
Command line: bomgar-rep-x64.exe --run-script "action=start_pinned_client_session&type=rep&operation=generate&search_string=%H"