Yeah this is going to be very hard to accomplish unfortunately. I'm guessing the only possible option to do this over the internet at the moment is using Dolphin and VBA-M on the same machine and some complex streaming setup. Dolphin supports linking to the VBA-M GBA emulator, and while this link setup is prone to bugs there are reports it works with Four Swords Adventures [1].
[1]: https://wiki.dolphin-emu.org/index.php/The_Legend_of_Zelda:_...