Bring 3 cups water to a boil in a saucepan over high heat. Add the tea bags, and steep for 15 minutes. Remove tea bags.
Meanwhile, place peaches with 1 cup water into the jar of a blender, and blend until very smooth. Pour the peach mixture, tea, and stevia powder into a 1-gallon pitcher. Fill the pitcher to the top with water and stir until blended.