I make a fried rice dish when I have leftover cooked rice and egg *noodles* are part of it, especially if I am low on other protein to add in.
Whip up 1-2 eggs.No need to add water or cream, as you want it to be as thick and flat as possible. Oil a griddle and spread the egg onto the pad. Keep tilting the griddle to spread the egg out into a smooth, flat pancake. When almost set, flip the egg, turn off the heat. Set it aside to cool while you make the rest of the dish (note: google the recipe for Nasi Goren). When the rice and veggies are done, slice the cooled egg pancake into strips. Wider is better, IMO. Stir into the hot rice. Would work well with soup, too.
Yes, that’s the “noodle”. So simple and quick to make. I use just a spoonful of cream, water or broth just to get it mixed. Your rice dish sounds good. They’re also good in chicken soup or as a wrap.