1) Whisk lime juice, rice vinegar, coriander, ginger, garlic, honey, sesame oil and pepper flakes in a small bowl. Prepare rice noodles according to package directions; drain and quick chill in a bowl of ice water.
2) Once well drained, toss noodles in a large bowl with carrot, spring onion, cucumber and peanuts and pour dressing over top. Mix well.
To serve, place noodles into serving bowls and top with a heap of beets.