Preheat your oven to 400°F 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 baking sheet.
In a small bowl, toss the shredded pork shoulder with the smoked paprika, cumin, garlic powder, sea salt, and black pepper until well coated.
Distribute the seasoned pork and the rinsed black beans evenly over the bell pepper halves.
Bake for 10 minutes until the peppers are slightly tender and the pork is heated through and beginning to crisp.
While the nachos bake, whisk together the Greek yogurt and lime juice in a small ramekin to create the lime crema.
Remove the tray from the oven and top the nachos with diced avocado, red onion, and fresh cilantro.
Drizzle the lime crema over the top and serve immediately while warm.