Nice job on the avgolemono, John, and a very nice presentation, as well.
I occasionally make the soup, sometimes in a manner as you do, though I only use egg yolks. If I want to notch it up a bit, I start by sauteing a mince of onions, carrots, celery and garlic. When that's softened, I add thyme, Greek oregano, salt, pepper, broth, and whole chicken breasts, and simmer until the breasts are barely cooked. I then remove the breasts, and add the rice (or orzo). While the rice is cooking, I shred the chicken, and add it back to the pot when the rice is done. I then add the egg-lemon blend and simmer for a few minutes until the soup has thickened a bit. The soup with a Greek salad, some crusty read, and a glass of good Greek wine makes for a nice, and satisfying, meal.