weird, that gameboy has eliments of the DMG, pocket and colour, its like a missing link!
but it looks very very much like a gameboy pocket screen, you may find that a gameboy pocket screen is a plug and play.
if you have a spare pocket screen, just plug it in and give it a try, if it works then you can just take the backing off and slide in the EL plate.
be careful with the hot iron idea, the pocket screens (if thats what it is) are very fragile, they are not like DMG screens and they are very easy to break. you should be fine if you are just careful with it,
