Microsoft PowerToys now lets you control your monitor from the taskbar - here's how ...
PowerToys adds Grab And Move to Windows 11, letting you drag and resize windows from anywhere using simple shortcuts.
Easier window movement: Grab and Move lets you Alt-click anywhere in a window to move it, avoiding the need to target the title bar. Simplified resizing: Alt-right-clicking inside a window allows ...
May be you can do this with Virtue. You would put a virtual desktop on each screen, and Virtue allows you to move windows between desktops using any key combination you want.