1. Preheat oven to 400 degrees. Arrange chicken in a single layer in a 9-by-13-inch baking dish. Season chicken with 1 teaspoon ancho chili powder and salt. Stir together orange juice, 2 tablespoons lime juice, 1 tablespoon oil, and half of the garlic; pour over chicken. Bake, basting occasionally, until chicken is cooked, 25 to 30 minutes. Let cool slightly, 10 minutes; shred with two forks.

2. Meanwhile, char corn over flame of a gas stove, turning with tongs, until blackened and blistering, about 3 minutes per cob. Transfer to a plate until cool enough to handle. Remove kernels: Working 1 ear at a time, stand corn in a wide shallow bowl; with a sharp knife, slice downward to remove kernels. Season with salt.

3. Soak onion in remaining 3 tablespoons lime juice and pickling liquid, about 5 minutes. Whisk in 1/3 cup oil and remaining 1/8 teaspoon ancho chili powder. Season with salt. Set aside dressing.

4. In a medium skillet, heat remaining 1 tablespoon oil over medium. Add remaining garlic, cook, stirring, for 30 seconds. Add beans; toss to coat and heat through, about 1 minute. Remove from heat; stir in 2 tablespoons lime dressing.

5. In a mixing bowl, toss lettuce and chopped cilantro with 6 tablespoons dressing. Season with salt. Divide lettuce among 4 bowls. Line half of each bowl with 1/2 cup tortilla chips. Divide chicken, corn, beans, tomato, avocado, and cheese among 4 bowls. Top with cilantro leaves and pickled jalapenos. Drizzle with additional dressing, if desired. Serve immediately.