Basjoos - still waiting to see a tuft test of your car. Surely I'm not the only one on this site that would love to see that.
Whuups ... didn't mean to hijack the thread. Getting back on topic, it is actually possible to add wheel arches to a vehicle and not increase the frontal area all that much.
Looking at the wheel arches on the Ford Focus, you might notice that the arches actually don't protrude all that much from the sides of the vehicle, yet appear to do so because of the clever use of a body cavity.