So basically to earn this trophy without having to drift a full 200 points, you going to want to do this:
1. Load up any mission that has cars parked near by.
2. When you start the mission, shoot the cars so you get a multiplier, preferably 3 or 4.
3. Quickly whilst the multiplier is active do a drift in your current vehicle. The multiplier should multiply the score and give you over 200 points.