Ensure your cooked chicken is finely diced for even distribution. The cornmeal mixture should be quite thick; continue stirring over medium heat until it reaches a polenta-like consistency before adding cheese and butter. For extra flavor, consider adding a pinch of cumin or smoked paprika to the chicken mixture. Allow the pie to rest for the full 15 minutes after baking; this is crucial for the cornmeal topping to set properly, making slicing and serving much easier. Experiment with different cheeses like Monterey Jack or a Mexican blend for variation. Serve with avocado, cilantro, or a squeeze of lime in addition to sour cream.