Add the hamburger to a large cast iron skillet. As the meat begins to brown, stir in the green chiles. Season with the smoked paprika, cumin and Mesquite (optional). Add the ancho chili and continue cooking until the meat has completely browned, stirring occasionally.

Drain any excess grease, if needed, and discard. Stir in the refried beans, until combined. If using canned beans, stir in the butter, mayonnaise and green onion in to the beans before adding to the meat mixture. Continue cooking for about 4 minutes, stirring frequently. Remove from the heat.

Add enough oil or lard to a saucepan or Dutch oven to deep fry and heat to 365 - 375 degrees F.

Sprinkle a layer of cheese down the middle of a tortilla. Top with about 3 tablespoons of the meat mixture and top with more cheese. Fold the outer edges of the tortilla toward the middle and then the bottom flap up to the middle, like an envelope. Continue rolling up toward the top flap. Seal with a toothpick. Repeat with the remaining ingredients.

Add a few burritos at a time to the oil and fry just until each side is a light golden brown, rotating around. Remove from the oil and allow to cool slightly on a paper towel or wire rack. Serve warm with green sauce (below).