Put eggs, bacon, Cheddar cheese, onion, bell pepper, mushrooms, black pepper, paprika, garlic powder, and salt in a resealable sandwich bag; seal. Shake vigorously until thoroughly mixed. Squeeze out any excess air and reseal. Bring a pot of water to a boil. Place bag in the boiling water; cook until egg is completely cooked, about 13 minutes. Remove bag using tongs or a large strainer. Carefully open bag and roll omelet onto a plate.