Preheat oven to 400°F.
Heat 1 tablespoon olive oil in a large nonstick skillet over medium-high heat. Sauté onion for 3 minutes, then add garlic and oregano and sauté 1 minute more.
In a food processor, puree half the black beans, the chipotle chile, adobo sauce, and salt until smooth.
Combine the onion mixture, remaining whole beans, chicken broth, shredded cheese, and the bean puree in a large bowl. Mix well.
Heat 2 tablespoons olive oil in a skillet. Fry each tortilla briefly until flexible and pliable.
Dip each tortilla in 1 cup of salsa verde, fill with a generous 1/3 cup bean filling, and roll up tightly.
Place enchiladas seam-side down in a baking dish. Top with remaining 1 cup salsa verde and sprinkle with crumbled queso fresco.
Bake for 10 minutes until heated through and cheese is melted. Serve immediately.