I must have found this annoying before, because I had left it undone even thought I'd picked off various missions up there. But, by my standards, I finished it pretty quickly after having taken a long time to do Mission 14 (Seattle Forward in the Superbird).
If you're a little too slow, you can then waste time stuck behind 3rd and/or 4th place in the twisty bit. And I found it easy to lose control on the hill, especially if I was on an otherwise good run. The downhill section seems like an arcade driving game.
Doing it immediately after the Superbird probably helped me tolerate the tires, as well as be somewhat familiar with the terrain, even if it was in the opposite direction.