Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Cut the bell pepper into wide, flat wedges to act as the 'chips' and arrange them in a single layer on the baking sheet.
In a small bowl, toss the shredded cooked pork shoulder with smoked paprika, garlic powder, sea salt, and black pepper until well coated.
Evenly distribute the seasoned pork and the rinsed black beans over the bell pepper wedges.
Sprinkle the shredded sharp cheddar cheese over the pork and bean mixture.
Place the baking sheet in the oven and bake for 8-10 minutes, or until the cheese is melted and bubbly and the peppers are slightly tender.
Remove from the oven and immediately drizzle the lime juice over the warm nachos.
Garnish with a dollop of Greek yogurt, fresh salsa, and chopped cilantro before serving warm.