PC port of Legend of Zelda: Ocarina of Time, Ship of Harkinian, gets a huge Randomizer upgrade

Not 100% sure this would work, but what I'd try is to create a new save within the game on the emulator (using the game's functionality, not a savestate) and shut down the emulator. Then find the resulting save file and replace it with the file from the physical cart, giving it the same file name as the file you're replacing. The emulator should automatically find that and load it when you start up the game.

You can just snag a ROM!