Heat the oven to 350 degrees F and line a large, rimmed baking sheet with aluminum foil. Add salsa verde to a large skillet over medium heat. Stir in the chicken and cook 5 minutes until warmed through. Arrange a single layer of tortilla chips on the bottom of the foil-lined pan then begin building the nachos. Scatter one third of the chicken, black beans, pickled jalapeños, chopped green onion and grated cheddar cheese over chips. Repeat with additional layers of chips and toppings until they are used up. (We usually end up with three layers of chips). Bake the nachos until the cheese has completely melted and everything is hot, 15 to 20 minutes. Serve nachos family style, right on the baking sheet, with as many additional toppings scattered on top as you like — we love adding crumbled fresh cheese, extra salsa, fresh chili peppers, thinly sliced radishes, and a drizzle of thinned sour cream.