Preheat oven to 375 F. Line large baking sheet with parchment paper or silicone baking mat. Pile half the tortilla chips on prepared baking sheet. Sprinkle half the cheese, beans, tomatoes, pickled jalapeno (if using), and green onion overtop. Create a second layer with the remaining same ingredients. Bake until cheese is completely melted, about 7 minutes.

While nachos are baking, in medium bowl, whisk together eggs, milk, and pepper. To large skillet over medium-low heat, add oil and pour in egg mixture. Let eggs sit for a couple minutes until they start to set and firm up at the edges. Using spatula, begin to pull eggs in from the edges to the middle of the pan. Continue this motion until soft curds form.

Scatter eggs, avocado, sour cream, and cilantro over nachos. Serve with lime wedges.