In a mixing bowl, whisk together the olive oil, lime juice, minced chipotle peppers, 2 tablespoons adobo sauce, oregano, cumin, salt, and black pepper until combined.
Add the chicken breasts to the marinade and toss to coat. Cover and refrigerate for 2 hours (or up to overnight) to marinate.
While the chicken marinates, prepare the cilantro lime rice, drain the corn and black beans, shred the romaine, dice the avocado, and shred the cheese.
Heat a grill pan over medium-high heat. Shake off excess marinade from the chicken and place on the hot pan. Grill 3–5 minutes per side until grill marks form.
Lower heat to medium and continue cooking until the chicken is cooked through (internal temperature 165°F/74°C). Remove and let rest 5 minutes, then chop into bite-sized pieces.
Assemble bowls by dividing the cilantro lime rice among four bowls, then top with chopped chicken, corn, black beans, shredded romaine, cheddar, pico de gallo, diced avocado, and a dollop of sour cream.