John and I love this dish because it's a fast alternative to enchiladas Suizas (chicken enchiladas in creamy tomatillo sauce), a fave of John's. –Rach
Under a broiler or over the open flame of a gas burner, using tongs, char the poblanos, turning occasionally, until blackened all over, 6 to 7 minutes. Transfer to a bowl; cover with plastic wrap. Let stand until cool enough to handle, about 15 minutes.
While the poblanos are cooling, shred the chicken into bite-size pieces. (Reserve the skin and bones for stock.)
In a Dutch oven or soup pot, heat the oil, two turns of the pan, over medium-high. Add the onion, garlic, and jalapeño. Season with salt, pepper, the coriander, cumin, and oregano. Cook, stirring often, until the vegetables soften, 7 to 8 minutes.
Peel the poblanos, then chop or slice them and add to the pot. Add the stock, tomatillos, hominy, and chicken. Bring to a rolling simmer. Add the lime juice and honey; season. Serve in shallow bowls with your choice of toppings.