You're new around here. Please be aware that though JLM has his thoughts about high quality set up, and many others around here have different views. Unlike those theorizing about the X-Static speakers, I have a pair in a room quite different than yours, but with it's own problems. I have found that somewhat near field listening works much better than I would have thought. It looks to me like your designed set up should work pretty well. Mine are out from the back wall a bit more, and much further and asymmetrically placed from the side walls. My chair is only about 6-7 ft from the front of the speakers. They are canted in toward the listening position about 20*. In this very non traditional positioning, they work very well in the corner of an L shaped room. Yours should work for you as well.
You might consider moving them out 6" and in 6", but experimentation will be your best guide. Oh, absolutely agree that corner bass traps will be a good investment