Hi, in Windows you can pass the command line parameter -adapter N
Unfortunately I don't think that works on Linux.
Here is a list of all Unity runtime command line parameters:
Perhaps you can start it up in windowed mode, drag the window to the correct screen and the go fullscreen. At least in Windows it is possible to Alt+Enter to toggle between window/full screen mode.
I'm not a Linux user myself so I don't really know of another way. I'm glad you like the sim!