Sprinkle wings with salt and next 3 ingredients. Dredge in flour, shaking to remove excess.
Pour oil to depth of 2 inches into a large deep skillet; heat to 350°. Fry wings, in batches, 3 to 4 minutes on each side or until done. Drain on a wire rack over paper towels. Toss wings in Spicy Buffalo Sauce; serve immediately with Cool Ranch Sauce and celery sticks.