In a bowl, whisk together ¼ cup avocado oil, lime juice, lime zest, cilantro, garlic, honey, chili powder, cumin, oregano, and ½ teaspoon salt to create the dressing and marinade. Divide the mixture evenly into two portions.
Add the chicken to one portion of the marinade, ensuring it's well coated. Let it marinate for 30 minutes while you preheat the grill.
Preheat your grill to medium-high heat (450°F). Meanwhile, toss the sliced peppers and onions with 2 teaspoons avocado oil, then season with salt and pepper.
Grill the chicken directly on the grill grates for 5-6 minutes per side, or until cooked through and no longer pink inside. Remove from the grill and let rest for 10 minutes before slicing.
Grill the peppers and onions on a grill pan over indirect heat, stirring occasionally, for 13-15 minutes or until tender and slightly charred.
Assemble the salads: start with a base of greens, add grilled peppers and onions, sliced chicken, and garnish with avocado slices, cotija cheese, and tortilla strips. Drizzle with the reserved dressing and a touch of Avocado Lime Dipping Sauce. Serve immediately.