Bring 3 cups of water to a boil in a heavy saucepan. Add tea bags and continue to boil for 5 minutes. Remove and discard tea bags.
Place peaches in a 9x13-inch pan and sprinkle sugar and cornstarch over the top, then add tea. Blend topping ingredients in a mixing bowl until dough is formed. Drop dough 1 Tbsp. at a time evenly over peaches. Bake at 350 degrees for 45 minutes until golden brown.