Michael
I have a tool that is designed to sharpen #11 blades with the blade in the handle. It works very well, but I've had it long enough I really don't know where I got it (may have got it at the big flea market we have here every year in June - find a lot of modeling tool bargains there - last years big buy was #61 to #80 drill bits for 5 bucks a set).
I believe that Micro Mark sells the same Item - you might check there.
I put my used blades in a 35mm film can that has been painted red and dispose them at the dump.