In reality, this achievement could be considered for completing the 3 below:
You can get each of the stars in a single run which makes this one a lot easier. Therefore, if you're having trouble with a particular star, go after that one individually. Realistically, the Speed and Undying stars are opposite styles. For example, my Undying run for Levels 19 and 20 are much slower than the Speed run times. Therefore, I'd recommend at least two separate runs (possibly more, especially if you're having trouble meeting the requirements.
For reference, there are 20 levels with 3 stars each. Therefore, 60 stars total for the achievement.