In a bowl, gently combine blackberries and raspberries. Hull and quarter strawberries; set aside. Zest lime, and juice 1/2 lime. Process yogurt with lime zest, lime juice, honey, and half of the cut strawberries in a blender. Top each of 4 waffle or sugar cookies with 1 tablespoon strawberry-yogurt mixture, 1/3 cup blackberry-raspberry mixture, another drizzle of strawberry-yogurt mixture; sandwich with another cookie. Garnish with remaining strawberries, and serve.