Huevos Rancheros Cast Iron Breakfast Skillet

Name: Huevos Rancheros Cast Iron Breakfast Skillet
Ingredients: 2 tbsp olive oil; 1 lb Mexican-style (raw) ground chorizo sausage (if in casings, remove and discard); 1 medium onion, diced; 1 25 oz can Mexican-style hominy, drained and rinsed; 1 4 oz can diced green chilis; 1 15.5 oz can black beans, drained and rinsed; salt and fresh ground pepper, to taste; 1 tsp smoked paprika; 2 tsp fresh minced garlic; a dash of cayenne pepper; 5 oz queso fresco, crumbled; 8 eggs; 1 medium avocado, sliced (for serving); 2 roma tomatoes, diced, seeds removed; 1/4 small red onion, diced; 2 tbsp chopped fresh cilantro leaves; 1 tsp minced jalapeño pepper, seeds removed; the zest of 1/2 a lime; the juice of 1 lime