1. Position an oven rack 6 inches from the broiler. Line a rimmed 17- by 12-inch baking sheet with foil, pour ¼ cup water into the pan, and fit with a wire rack.
2. Toss the wings with the oil, 1 ½ teaspoons salt, and ½ teaspoon pepper in a large bowl. Arrange in a single layer on the rack. Prick the chicken skin with the tip of a knife. Broil until cooked through and browned, about 20 minutes, turning once.
3. While the chicken cooks, mix the hot pepper sauce, vinegar, maple syrup, and butter in a large, deep skillet. Bring to a boil, stirring, then simmer over medium-low heat until thickened slightly, about 3 minutes. Add the hot wings and turn until well-coated. Serve immediately with the celery sticks and blue cheese dip.