Preheat the oven to 425°F (220°C) and line a baking sheet.
In a large bowl, combine 2 tablespoons olive oil, 2 teaspoons honey, chopped garlic, chili powder, ground cumin, a pinch of salt and chili flakes; add the chicken and toss to coat.
Add the sliced bell peppers and sliced onion to the baking sheet; drizzle with 1 tablespoon olive oil and season with salt, arranging the vegetables in a single layer around the chicken.
Bake for 20–25 minutes until the chicken is cooked through and the peppers begin to char.
While the chicken roasts, whisk together the vinaigrette: 1/4 cup olive oil, 1 tablespoon honey, 1/4 cup lime juice and 1/3 cup salsa verde; season with salt to taste.
When done, thinly slice the chicken and divide cooked rice among bowls.
Top rice with sliced chicken, roasted peppers and onions, cherry tomatoes, avocado slices, a dollop of yogurt or sour cream, and chopped cilantro.
Drizzle bowls with the honey-lime salsa verde vinaigrette and finish with flaky salt to taste.