Dipole Asymmetry

Since no one this far has said Aw, shucks, just put those speakers there and they'll be fine, I must assume there will be audible differences channel to channel. I suppose the magnitude of those differences would be open for debate. I think Cleeds may be right, in suggesting a more conventional speaker design. 

And why would I consider these speakers with my room constraints? Because I want to play, Dammit! Lol

If you have a turntable, putting it directly in the line of fire could potentially cause a feedback issue. 
IMHO, to get the sound you are paying for at those price points you need absorption behind the dipoles, even more so if less than 5' distance.

If you can't do that you could try floor standing absorbers that go right behind the speaker. Warning, they are big, ugly and rare but Sound Lab makes a model and I believe there are DIY versions online. 

The best solution might be getting a longer set of interconnects and moving the rack if possible with just the amp(s) near or behind the speakers. Cheers,
Spencer

sbank

...  you need absorption behind the dipoles, even more so if less than 5' distance.

Would you please explain why you'd put absorption behind a dipole speaker, when part of the dipole concept includes reflection off the wall behind the speaker?

@cleeds time.

You need about 15 ms between the direct signal and first strong reflections so your brain builds up the image and tonal characteristics of the music without significant blurring and smearing.  At about 1ft per millisecod, 5ft x 2 = 10. Too short a difference.