In a large saucepan, cook the chorizo over moderate heat until the edges are crisp, about 6 minutes. Add the butter and let it melt. Add the onions, celery and carrot and cook until the onions are translucent, about 12 minutes. Add the garlic, thyme, sage and rosemary and cook until fragrant, about 1 minute. Transfer the chorizo mixture to a large bowl.
Cut the corn bread into 1-inch pieces. Spread it on a rimmed baking dish and toast for about 20 minutes, stirring once, until golden in spots. Add the corn bread to the chorizo. Add the chicken stock, eggs, salt and pepper and toss gently until evenly coated. Transfer the stuffing to a 10-by-14-inch baking dish. Bake in the top third of the oven for about 40 minutes, until golden on top. Serve warm.