Nice.
http://www.nhra.com/blog/popup.aspx?AssetGalleryId=984&PictureId=7769
Make this an open-wheeler and you're back to a belly tank, with it's problematic ground interactions. Better to start here:
http://www.vmmv.org/tanktk/me262/me262.htm
Not quite a half-body. The bottom is flat for good ground interaction, but the top has a more Gothic than Romanesque arch. Maybe a Gaudi Parabolic arch? Wouldn't this would reduce crosswind lift and improve directional stability.
The question is how you get there from your rectangular chassis. I suggest a look at the Ford Indigo:
https://en.wikipedia.org/wiki/Ford_Indigo
http://i.forbesimg.com/images/2002/06/10/indigo_415x275.jpg