My wife was a Princess for the Indy 500 while we were dating in college. I was her escort. We got to ride into the track in one of the pace cars, lap the track several times, sat on winners circle for the race, rode in and out in the governor's motorcade and avoided all the traffic too.
Last time I went (3-4? years ago) we sat in the 4th turn and got to see a lot of action in the 4th and toward the finish line. But it was sunny and hot in that corner.