Set up grill for indirect cooking and heat to medium. Toss together chicken, enchilada sauce, onion, corn, beans, and 8 ounces cheese in a bowl. Season with salt and pepper.
Tear six 12-inch squares of aluminum foil. Place one-sixth of chips, chicken mixture, and remaining cheese on one end of a piece of foil, leaving a 3-inch border. Fold foil over filling to create a packet and crimp edges to seal. Repeat with remaining foil, chips, chicken mixture, and cheese.
Grill packets over indirect heat until cheese is melted and chicken is warmed through, 6 to 10 minutes. Transfer packets to plates and carefully open. Top with cilantro and serve with lime wedges alongside.