Heat broiler to high with the rack in the upper third of oven. Char peppers and tomatillos, turning peppers occasionally to char evenly all over. Place in a bowl and cover with plastic wrap to cool. Peel and seed peppers.
Place charred peppers, tomatillos, 2 cups stock, cilantro, salt, pepper, honey and cumin in food processor and process until smooth.
Meanwhile, heat a large, cast-iron or other heavy pan over medium-high heat with oil, 2 turns of the pan. When oil smokes, brown and crumble meat then add onions and garlic. Season with salt and pepper, and cook to soften onions, 5 minutes. Deglaze with beer and stir in salsa. Bring to a bubble and reduce heat to simmer. Stir in sour or heavy cream.