Is your diagram to scale? Will the L Khorn really come all the way to that outside corner as drawn? Hopefully the speaker won't protrude past that corner, and it would be even better if it recesses. I also have less-than-optimal placement for my L Korn, and they still sound great. I notice no imbalance, but am using the new Klipsch 15" subwoofer with them...
Of course, you drew the cornerhorns as square, but they are five-sided. If your recess is deeper than 22" for that left corner, that will help. So how deep is it?
You'll be sitting a bit close, but I've seen a couple in even tighter spots - your room opening up to your left may even help in some respects. I would pull that couch forward a little if possible, as twiiii wrote above it may sound boomy with your head that close to the wall - but that's true for most speakers, not a Klipsch thing... a room thing.