Yeah, I think it might be good enough as is, though. In first person mode, the corpse should be taking up a pretty significant portion of the screen, especially along the bottom edge. Plus, I would wager that this binding would only affect objects in the world frame, not in the UI. Therefore you don't have to worry about leaving the mouse on UI elements.
Pending further testing, I consider this a quality find, thanks for the post!
Out of curiosity, would anyone with more experience than me be able to offer any insight into Autohotkey's mouse functionality? The command reference if found offers a way to move the mouse, but it doesn't seem to have a place to specify the window?
http://www.autohotkey.com/docs/commands/MouseMove.htm
I bet the solution would be to set AHK to send a mouse click to a specific coordinate for each window to set the mouse to that location in each client...