Here's my solution to getting this annoying little achievement.
Thanks go to Streak Leader
who posted a suggestion in the other solution suggesting using the following set up
This is what I did and I also set about getting as many rivals as possible during the race.
Heres my added extra advice....
During the race try to avoid getting wrecked in the earlier laps, but what you are aiming for is to be on your last legs as you go into lap 4, ideally smoking with the red sparks coming from out beneath / behind your car.
Drop to the back of the pack and travel slowly towards the finish line. Don't stop or go into reverse or it will re-spawn you.
As you get close to the finish line, go into a donut by holding RT, X and left or right.
As the AI vehicles come round to lap you, hopefully one of the rivals you've created, or another AI car will smash into you, wrecking you across the line.
It took me a couple of tries to get the right balance of my own damage level and donut location, but I got it without to much frustration.
As always I hope this helps and if you think you can add more, put something in the comments.