Spread about 1/4 cup of enchilada sauce along the bottom of a 9x13-inch casserole dish. Lay 2 tortilla shells over the sauce so they touch the ends of the dish and overlap each other in the middle. Spread half of the filling over the tortillas, then pour half of the remaining enchilada sauce over it, then sprinkle with cheese. Repeat the layers; place two more tortillas over the cheese, add the remaining filling, pour the remaining enchilada sauce over, and top with the remaining cheese. Cover with aluminum foil.