Heat a medium non-stick skillet over medium-high heat and add the turkey chorizo, breaking it up with a spatula until browned and cooked through.
Add the diced red onion, bell pepper, and minced jalapeño to the skillet with the chorizo, sautéing for 4-5 minutes until the vegetables are tender-crisp.
Stir in the rinsed black beans and cook for another 2 minutes until heated through, then transfer the chorizo and bean mixture to a bowl.
Wipe the skillet clean, return to medium-low heat, and add the olive oil.
Whisk the eggs with sea salt and black pepper, then pour into the skillet, stirring gently until they are just set and soft-scrambled.
Top the chorizo and bean mixture with the scrambled eggs, sliced avocado, and fresh cilantro.
Serve immediately with a fresh squeeze of lime juice for brightness.