Preheat oven to 450°F.
In a large bowl, toss waffle fries and 1 Tbsp. ranch seasoning. Spread in an even layer on a baking sheet. Bake for 25-27 minutes, tossing halfway through until fries are crispy.
In same bowl you used for the fries, toss chicken with remaining 1 Tbsp. ranch seasoning; set aside.
In a large bowl, whisk hot sauce and butter.
Reduce oven temperature to 350°F. Add chicken to bowl with hot sauce mixture and toss to coat. Top fries with chicken pieces. Sprinkle with cheddar and/or Monterey Jack.
Continue to bake until cheese is melted, 5 to 7 minutes.
Transfer chicken and fries to a platter. Drizzle with Ranch Dressing if desired. Serve with carrot and celery sticks.