Preheat the grill to medium-high.
Place the peppers and the chicken on two separate plates, and rub each with 1 tablespoon oil; season generously with salt and pepper. Squeeze the juice of 1 lime over the chicken, and gently toss to coat.
Grill the peppers cut side up for about 10 minutes, then flip and continue to cook on the other side for about 5 minutes more. On another portion, grill the chicken for about 5 minutes on each side until cooked through. Remove ingredients from the grill and set aside.
To assemble the sandwiches, spread some mayonnaise on the bottom half of each roll, then sprinkle with some queso fresco. Layer the chicken, poblanos, red onions and lettuce on top of the cheese, then drizzle with olive oil and the juice of the remaining lime, and season with a little more salt and pepper. Spread about 1/4 of the avocado on the top half of each roll, place on the bottom half, and serve immediately.
Nutrition information per serving:
Calories563Fat30 gSodium414 mgSaturated fat5 g