Metro, I am no expert on this... but he might want to try some sort of gentle roof spoiler if the flow is detaching somewhere at the roof/window junction.
Again, I am no ultimate authority on this, but shouldn't drag be in large part the vector sum of pressures on the car? I.e. a bubble, even if enclosed in laminar flow, is still a low pressure region and hence you still have a region of high pressure at the front of the car that is directed to oppose the car's motion, and two regions of low pressure at the back of the car. One being the enclosed bubble and the other being the vacuum behind the trunk? Add them both together and they still point backwards.
Force = Pressure * Area (N/m^2 * m^2 or pounds per square inch * square inches).
This stuff is
confusing, because I'm not sure which rule to ultimately go by, conservation of momentum or vector sum of pressure. Seems that (at least according to the NASA site) both theories are correct. I'm not sure what you were taught in school or reading science textbooks, but I got quite a bit of exposure to the incorrect "equal paths" theory explained in the link. I feel a little vindicated that it never made sense to me at the time and now I have something better to go with.
At least from the pressure point of view it is possible to verify via tuft testing that there is a vacuum at the back of the vehicle, and we know there will be positive pressure at the front of the vehicle.
Just thinking out loud as to how to explain what is the difference between a bubble and a boattail via the "Newton" method of conservation of momentum, with a boattail you only have skin friction slowing down the air, whereas in the other case the air might follow a similar path but with different acceleration due to accelerating towards the pressure... hence a net change in momentum towards where the car is going.