The alt-numpad method does not work with the number keys on the keyboard just as the OP mentioned, alphanumeric.
However, SevenUser12's solution should do the trick.
Open charmap.exe by typing it in your "Start" search bar or selecting "Run" and then typing it in. I randomly selected the "Tunga" font and found a blank character and then clicked "Select," then "Copy".
I then right clicked on this icon

and selected "Rename" then right clicked again and selected "Paste" resulting in

, a nameless icon.
The icon launches just as it did prior to the rename and I only used the mouse and charmap to do it.
Nice one, SevenUser12, thanks. I hope it helps hawkeyes.
I think we can mark this one as solved?