If you have access to milling facilities (even a vertical slide? ) you could make your own hexagonal key.
At a pinch, take a piece of hexagon bar , (1/4 inch or 7 mm if you can get it ), and gently file a little off each flat in turn until it is a snug fit in the socket screws in the chuck.
Having done that, drill and tap the other end of the bar, before cross drilling it for a bar to act as handle, retained by a grub or capscrew in the tapping..
Howard