Another thing you could do is alt tab, then dont click or move the mouse or anything, just ctrl alt del to task manager, and minimize it and voila the mouse moves and no crashes!
if your alt-tabbing to view a web browser, Steam has its own web browser built into it. Press shift + tab and it will bring up the steam overlay, at the bottom of the overlay you will see "Web Browser" click on this and and it will open a tabable web browser that can be accessed fairly reliably in game.