Wild rice recipes often call for a mix of wild rice and white or brown rice. I love the taste of the two rices mixed together as each has a slightly different texture.
Add the wild rice to boiling water, reduce heat, cover and simmer 15 minutes. Drain and set aside.
Heat 3 tablespoons of oil in a saucepan and sauté the carrots, onion and celery over medium heat for about 5 minutes. Add the wild rice, long grain rice and tarragon and mix well. Add 2 2/3 cups water and bring to a boil. Reduce heat, cover and simmer until all liquid is absorbed, about 40 minutes.
Meanwhile, heat 2 tablespoons of oil in a skillet. Add the mushrooms and shrimp and cook, stirring, for about 3 minutes. Add the snow peas, and stir until crisp tender, about 2 minutes longer. Add to the rice mixture. Adjust the seasoning to taste with salt and pepper, and serve.