In WW II there was a German airplane manufacturer who became known for his unusual designs. The firm was Blohm und Voss (BV). During that war they designed one of the most usual designs ever.
They wanted to compete in a design for an observation airplane. It had to be powered by one engine. The chief designer proposed an asymmetrical airplane. He said that this solution was to only possible way to have an excellent view using a single engine. The design was named BV 141.
I refer to the pages on asymmetric airplanes in the section Weird aviation designs for more detail on these designs.
Till now there was not an asymmetric flying wing. I hope I found a way to combine these two remarkable airplanes.
I tried many ways to combine a flying wing and an asymmetrical design in a theoretical way.
Let me explain this design. The weight of the fuselage compensates the moment creates by the engine and prop (turning the airplane around the horizontal axis (from front to rear)) . The prop is no longer placed in the center. It would push the plane into a right turn around the vertical axis.
What forces do we have left to compensate? The drag of the fuselage, the thrust of the prop and maybe the force that is pushing the tail (exists in a airplane using a tail, see drawings in section weird aviation designs). I don't know if the last named force still exists in a tailless design.
Lets look at the way these forces work. The drag pushes the fuselage backwards and creates a left turning moment. The thrust of the prop pushes the fuselage forwards and creates a right turning moment. The size of the forces depends on many factors. If you have calculated the forces of your design you could let these forces compensate each other by placing the prop under an angle (turning the prop towards the center of gravity). You have to calculate the right angle according to the forces.
I know that these forces change according to the speed. So choose the speed you like best compensated. I would suggest the take-off or landing speed.
As I said, there are no such designs flying yet. So if you are a beginner and if you are thinking about testing it out, be sure to ask help from more experienced designers or to build your models in cheap materials. It could happen you will have to rebuild the model a lot. Foam covered with balsa seems an easy way to me. Have fun with the experiments.
If this is confusing to you, go see this powerpoint i made in my first years of being a nurflugel mailinglist member.
If you could send me some picture of your model, I surely will place it on this page. Please, a JPG-file and maximum width of 550 points.