IME,
I'm not sure about gluing. A few possibilities:
IIRC, there is a way to remap at least some of the remote control buttons, depending on Image used.
Use the on-screen remote on OpenWebIF. Not a pleasant experience IMO.
Someone with a dead Mio might let you have their remote cheap or even free. (I still use my remote. Sorry)
Hypermegasat shows ONE remote left in stock for $24. Might find more sellers elsewhere.
Last option... Possibly a 'universal' programmable remote. (I've rarely had a good experience with Universal remotes on anything)