In a 4- to 6-quart pan over high heat, bring about 2 quarts water to a boil. Add carrots and cook just until tender-crisp to bite, 3 to 4 minutes. Drain.
Meanwhile, in a large bowl, mix olive oil, lemon juice, vinegar, sesame oil, miso, soy sauce, green onions, parsley, and tarragon. Add warm carrots and mix to coat. Serve, or cover and chill up to 1 day.