Preheat the oven to 350°F (175°C).
In a very large bowl, whisk together the honey, lime juice, chili powder, onion powder, garlic powder, salt, smoked paprika, cumin, chipotle powder, and cayenne (if using) to make the 10-minute marinade.
Add the cooked, chopped chicken to the marinade and toss to coat; let sit for 10 minutes.
Stir together the shredded Monterrey Jack and sharp cheddar cheeses; reserve 2 cups of the cheese mixture for topping.
Add 2 cups of the cheese, salsa verde, cooked rice, 1/2 cup sour cream, drained corn, and diced green chilies to the marinated chicken and mix until evenly combined. The mixture may be slightly wet.
Transfer the chicken and rice mixture to a 9 x 13-inch casserole dish and spread evenly, then sprinkle the reserved cheese on top.
Bake for about 30 minutes, or until the casserole is hot in the center. If desired, broil briefly until the cheese is golden and bubbly—watch closely to avoid burning.
Remove from the oven and serve with tortilla chips, extra sour cream, cilantro, and avocado as desired.