Whole chicken breasts, cooked and shredded • Monterey Jack cheese, grated • (3 oz.) (mild) chopped green chilies • Cream of chicken soup • Nacho cheese soup • Sour cream • Cheddar cheese, grated (divided) • Pepper jack cheese, grated (divide) • Flour tortillas, or 4 burrito size flour tortillas • Refined beans, divided • Spanish rice, divided