Interesting fun topic.
I think an F1 monocoque/crash cell would be the start point.
The front nose would become conical, and front wheels and suspension arms would be history. A small retractable wheel would extend from the nose.
THe engine is also gone, and the airboxes gutted. The clean intakes would lead to the intake plennum of the two jet engines, rigidly mounted to the engine mounting points.
The front wing is now a canard style wing, and the rear wing is enlargened to give the main lift. The engines are mounted below the rear wing, emebedded into the diffuser, and protruding under the bottom. The rear wheels are also gone, and replaced with two small retractable wheels.
I figure it would like the
Rutan Model 33 VariEze and and F1 car.
The vertical stabilizer has already been tested on the RB4