Make the Shredded Mexican Chicken (see recipe notes for link to the recipe). Chicken can be made a head.
Preheat oven to 400°F.Wash and dry the poblano peppers. Spray the baking sheet with nonstick cooking spray. Place poblano peppers on the baking sheet and spray them with nonstick cooking spray. Cook 15 minutes. Allow peppers to cool for a few minutes. Cut the peppers lengthwise on the top of the pepper only then remove the inner stem and seeds (you can cut off the whole top then slice lengthwise if it's easier). Stuff the peppers with the shredded chicken.Place back in the oven and roast for approximately 20 minutes or until the peppers are tender and blistered. Meanwhile, make the crema. Place sour cream, jalapeno, lime juice and zest, garlic, and salt in a small blender or food processor. Pulse until smooth.
Drizzle poblano peppers with crema then top with cotija cheese and fresh cilantro.
Store leftovers in an airtight container in the refrigerator for 4-5 days.