Preheat your oven to 425°F. While it heats, dice the poblano pepper into 1/4-inch pieces, shred the cheddar cheese fresh (this will melt far better than pre-shredded), crack all 14 eggs into a bowl, and set out the cream cheese to ensure it's at room temperature for smooth melting. Warm your tortillas by stacking them and wrapping in a damp paper towel, then microwaving for 30-45 seconds until pliable—this makes them much easier to fold without cracking. Having everything prepped and ready means you can work quickly once cooking begins.
Heat a large skillet over medium-high heat and add the ground sausage, breaking it apart with a spoon as it cooks. Once the sausage is fully browned and no pink remains (about 5-7 minutes), transfer it to a clean plate. In the same skillet, add the diced poblano pepper and sauté for 2-3 minutes until it begins to soften and char slightly, which deepens its flavor. The residual sausage fat in the pan will flavor the peppers beautifully.
Pour the cracked eggs directly into the skillet with the sautéed poblano. Add the salt, pepper, and smoked paprika, then drop in the room-temperature cream cheese in small pieces. Stir constantly, allowing the cream cheese to melt into the eggs while they cook. This takes about 2-4 minutes—you want the eggs to be soft and slightly creamy when they finish cooking. I find that by adding the cream cheese pieces while stirring, they distribute evenly throughout the eggs for a richer texture, and the smoked paprika adds a subtle depth without overpowering the dish.
While the eggs are cooking, warm the black beans in a small saucepan or microwave (about 1-2 minutes in the microwave is quickest). This ensures they're ready to assemble and will maintain warmth inside the burrito.
Lay one warm tortilla flat and create a horizontal line across the center with ingredients: start with a handful of freshly shredded cheddar cheese, then a quarter of the cooked sausage from Step 2, a quarter of the scrambled egg mixture from Step 3, and about 1/4 cup of the warmed black beans. Fold the left and right sides of the tortilla toward the center, then fold the bottom up and roll tightly away from you to create a secure burrito. Repeat with the remaining five tortillas.
Place the assembled burritos seam-side down on a baking sheet and wrap each burrito loosely in foil. Bake in the preheated 425°F oven for 8-10 minutes until heated through. The foil keeps the tortillas moist while allowing the filling to warm evenly. Remove from the oven, unwrap the foil if desired, and serve immediately while the filling is warm and creamy.