Preheat the oven to 375 degrees . Sprinkle the chicken with the seasoned salt. Place the flour in a wide, shallow bowl. In another bowl, whisk the eggs and milk. In a third bowl, mix the potato chips and pepper. Dredge the chicken in the flour, shaking off excess. Coat in the egg mixture, then chip mixture, pressing to adhere.
In a large skillet, heat 1 cup oil over medium. Add 4 chicken breasts, skin side down. Cook until browned, 5 to 6 minutes per side. Transfer to a rack set over a baking sheet. Pour off the oil and wipe out the skillet. Repeat frying with the remaining 1 cup oil and chicken.
Spread any leftover chips on a rimmed baking sheet. Top with the chicken, skin side up.
Bake until the chicken is cooked through, about 15 minutes. Serve with the HP Sauce and the chip bits from the baking sheet.