Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Slice the mini bell peppers in half lengthwise, removing any seeds and stems, and arrange them in a single layer on the baking sheet with the hollow side facing up.
In a small mixing bowl, toss the shredded cooked pork with the smoked paprika, cumin, garlic powder, sea salt, and black pepper until the meat is evenly seasoned.
Fill each pepper half with a portion of the seasoned pork and the black beans.
Sprinkle the shredded cheddar cheese evenly over the top of the filled peppers.
Bake for 8 to 10 minutes, or until the peppers are slightly softened and the cheese has melted into a bubbly, golden layer.
While the nachos are roasting, whisk the Greek yogurt and lime juice together in a small bowl until the crema is smooth and pourable.
Remove the nachos from the oven, drizzle with the lime crema, and garnish with chopped fresh cilantro before serving immediately.