How to Make It
Process 1 can beans in a mini food processor until smooth. Place bean puree, remaining 2 cans beans, hominy, and next 8 ingredients (through oregano) in a 6-quart electric slow cooker. Reserve 1 tablespoon green chiles. Add remaining green chiles to cooker. Top with chicken thighs. Cover and cook on LOW 8 hours.
Place chicken on a cutting board; cool 5 minutes. Shred chicken; stir into chili. Cover and keep warm.
Process reserved 1 tablespoon green chiles, yogurt, and 2 tablespoons cilantro in a mini food processor until smooth.
Place 1 1/2 cups chili in each of 8 bowls; top evenly with yogurt mixture, remaining cilantro, cheese, green onions, and jalapeño. Serve with lime wedges.