Season the pork shoulder with smoked paprika, garlic powder, onion powder, sea salt, and black pepper before slow-cooking until tender.
Preheat your oven to 400 degrees Fahrenheit and line a large baking sheet with parchment paper.
Slice the mini bell peppers in half lengthwise, remove the seeds, and arrange them in a single layer on the prepared baking sheet.
Roast the peppers for 8 to 10 minutes until they are slightly softened and show a light, flavorful char.
Shred the cooked pork using two forks and distribute it evenly over the roasted pepper halves.
Sprinkle the black beans over the pork and return the tray to the oven for 5 minutes to heat through.
Remove from the oven and top the nachos with dollops of Greek yogurt and fresh avocado slices.
Garnish the plate with fresh cilantro and a bright squeeze of lime juice before serving immediately.