Co třeba tohle?
https://sourceforge.net/projects/tvgamelauncher/

A ještě nějaké Windows chvaty hmaty:

To change which monitor an app should open by default, do the following:

▶ Ensure all instances of the app are closed. (this step might not be required, but I've noticed that without it it sometimes refuses to work)
▶ Open your program.
▶ Move it to the monitor on which you would like it to open by default.
▶ Hit the Windows key + Shift + Enter.
▶ Close the application, and open it again - it should now open on the correct monitor

How to open a program on a specific monitor is by using keyboard shortcuts. Here’s how:

▶ First, launch the program.
▶ Press the Windows + Shift + Left arrow key to open a program on the monitor to the left.
▶ Press the Windows + Shift + Right arrow key to open a program on the monitor to the right.
▶ Reduce the size of the program by half by clicking on the “Restore Down” button and dragging the window’s corner inward.
▶ After this, close the program.