Heat an outdoor grill and roast Anaheim chiles on all sides until the skin is charred, about 10 minutes. Place in a plastic bag for a few minutes to steam. When cooled, remove stems, peel off outer skin, and remove some seeds. Roughly chop and set aside.
In a small skillet over low heat, toast cumin and coriander seeds until fragrant, about 2–3 minutes. Let cool, then grind into a coarse powder using a mortar and pestle or small grinder. (Alternatively, substitute with cumin and coriander powder.)
Heat a heavy stock pot over medium heat and add oil. Sprinkle cubed antelope with salt, pepper, and flour. Working in batches, brown the cubes and set aside.
In the same pot, add onions and garlic, cooking until onions are soft and translucent, about 5–7 minutes. Add ground antelope and cook until browned.
Add roasted chiles, Hatch green chiles, pinto beans, beef broth, cilantro, and browned cubed antelope. Stir in toasted spices, oregano, salt, and bay leaf. Partially cover with a lid, reduce heat to low, and simmer for 2 hours, or until meat is tender.