Do you have a gamepad you can try, to see if that avoids the crash?
Do you have any accessibility options enabled in the Windows mouse settings? I don't know of any issues where that could cause crashing, but the cursor does change crossing into the game window, and accessibility options (such as pointer trails) caused the game cursor to be invisible in fullscreen mode (though not windowed / fake fullscreen).
Someone else in the EE had a similar problem with the game crashing moving the cursor into the game window. Now, if I can remember enough unique key words to be able to find that...