Big Sur comes up in the championship final for season 4 with the correct car but there is a lot of traffic on the track to get by that can slow you down so its advisable to do this in a custom race.
Here are the settings you're going to want to use:
Race Type: Faceoff
Vehicle Tier: Tier Three
Rounds: 1 Round
AI Drivers: Very Easy
~Advanced Options
Flashbacks: Unlimited (Just incase you screw up)
~Track Selectiom
Location: California
Track: Big Sur
Conditions: Day
Car Selection: Caterham SP300R - Now there are faster cars but this car is built for racing and sticks to the track like glue.
For the most part you will not need to use your brakes and instead just ease of the accelerator for some of the sharper turns but the rest the car can handle at full speed.
Don't worry if you're a little behind the 1:30mark at the halfway point the second half of the track is downhill.