Sorry, no Buck.
I don't remember how I did it, I guess I just run and run and turn and run, like always, trying to confuse them. Try to do it with your fastest car and paint it before to have a low heat level...
For me, the most difficult one was the similar one with the McLaren, I remember I arrived at the safehouse in the last second. And yeah, I think the heat level only affects to the the police cars, the road blocks and the presence of Helicopters.
What do you think Stylizer?