I did an experiment under similar condition (except for the red parts).
I found a white car in the parking lot, in the sun. Using spot metering and in Av mode, with ISO 100 at F/11, my K10D measures 1/1600 sec for the white body and 1/80 for the black tire. That's a bit more than 5 stops, bordering the limit of the camera's sensor.
So I manually set the camera at F/11 and 1/400.
Here's the photo and the histogram in LR. Note the clipping on either side of the histogram, and the red/blue hightlights in the photo:
The dynamic range just exceeds the capabilities of the sensor.
I don't have a neutral density filter here to try. But I don't think it helps.
HDR may help, but I don't have access to it.
Use this to your advantage: you can justify a K-7