If unevenly-cooked rice is a concern of yours (for reasons listed above!), the fix is easy: follow the recipe as written, but pull the chicken and rice dish out of the oven 30 minutes into it's cooking time. Pull the chicken off the top of the dish (place on a plate or in a bowl for safe keeping) and then give the rice + remaining broth a good stir. Finally, place the chicken back to the top of the rice in one even layer. Put the casserole back in the oven, covered, for 15 minutes (to complete the original 45 minutes cooking time), then cook uncovered for the last 10 minutes.