In a medium bowl, stir together chili powder, smoked paprika and brown sugar. Add chicken and toss well to coat.
In a small bowl, whisk together mayonnaise, yogurt, apple cider vinegar, Italian seasoning, pepper, garlic powder and 3 tablespoons of water.
In a large bowl, combine lettuce, cucumber, tomatoes and radishes. Add chicken and cheese and toss well to combine. Drizzle with dressing and serve.
