Hi my daughter is allergic to soy, we live in Japan, do A LOT of stir fries.
I use different things, ginger, sesame seed oil, fish sauce ( the Thai stuff ) some times a bit of balsamatic vinegar, salt, lemon juice... a bit of water if things are sticking. I don`t know if this is helpful. Just ignore the bit about soy sauce in the recipe or just sort of expand your idea of what stir fry should taste like. I do a nice one with Cajun spices, or the balsmatic vinegar and a bit of honey and salt and pepper.
Good luck with the SCD.