Bring 4 cups water to a boil over high heat in a medium saucepan. Add the tea bags and remove from the heat. Let the tea bags steep for 5 minutes. Stir in the sugar while still warm so that the sugar will dissolve. Refrigerate until cold, at least 30 minutes.
Put the cold tea, half-and-half, berries and a few cups of ice cubes in a blender and blend until smooth. Divide the drink among 4 tall glasses.