You'll want to wait until you progress to WSR Season 5, and unlock a good Tier Four vehicle. At that point you'll want to create a custom event with the following options:

Race Type: Race
Vehicle Tier: Tier Four
AI Drivers: Very Easy
Track Selection: California - Big Sur (9.6km) - Day
Car: Audi R8 LMS Ultra (Or other T4 Grip/Balanced vehicle)

From the start, you'll want to try to get into 1st place without damaging your car. You'll want to keep traction during the corners and minimize drifting. Brake when needed, and accelerate through the corners. Keep it clean, and you should be able to get this achievement after a few runs of the course. At the 50% marker, you'll want to be at 1:42 or faster, if you plan to beat the 3:00 timer. Just keep racing, and you will beat the time without some patience if you're struggling.

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Video Tutorial