So using an old build of the Emscripten port of ScummVM (Done by Jukka Jylanki) managed to get a few games running:
Spy Fox
Pajama Sam
Curse of Monkey Island (demo)
All of them worked great, except for Curse of Monkey Island, which seems to have audio issues. Upon investigation, it seems like a custom audio engine called iMuse is used in this game. Either that, or the underlying audio API used in this old version of Emscripten could be causing the issue. Does anyone have any thoughts on this?
Thanks!