Bring 2 cups water and carrots to a boil in a medium saucepan over medium-high. Cover and cook 15 minutes or until tender; drain. Place carrots in a bowl with butter, sour cream, and 1/4 teaspoon salt; mash with a fork until almost smooth.
Combine remaining 1/2 teaspoon salt, garlic powder, paprika, and 1/2 teaspoon pepper in a small bowl; rub over steak. Heat 1 1/2 teaspoons oil in a large nonstick skillet over medium-high. Add steak to pan; cook 5 minutes on each side. Let stand 5 minutes. Cut across the grain into slices.
Cook snap peas according to package directions. Add remaining 1 1/2 teaspoons oil and snap peas to pan; cook 3 minutes or until lightly browned, stirring frequently. Stir in remaining 1/4 teaspoon pepper and vinegar. Serve snap peas with carrot mash and steak.