Cook rice by its package, fluff and fold in 1 tablespoon lime juice and half the cilantro, then spread on a shallow tray.
Mix chipotles, adobo, 1 tablespoon oil, half the cumin and garlic, oregano, 3/4 teaspoon salt, 1/2 teaspoon pepper and 1 tablespoon lime juice.
Pat chicken dry, trim excess fat, coat with marinade and rest 15 minutes while oven heats to 425°F.
Toss peppers, onion and corn with remaining oil, cumin, garlic, salt and pepper and spread on a rimmed pan.
Roast chicken and vegetables on separate pans, turning vegetables once; remove each thigh when its thickest center reaches 165°F.
Rest chicken 8 minutes, slice across the grain and toss with clean resting juices.
Whisk Greek yogurt with remaining lime juice and 2 tablespoons cilantro; thin only if needed.
Divide rice, beans, vegetables and chicken among six containers and pack drained pico and yogurt sauce separately.