Speaker Suggestions for Next Move

You should look at the monitor audio platinum series as well much better than the Wharfedale flagships, they are very three-dimensional airy and spacious and are very neutral sounding, The sound stage is very enveloping it will wrap around the whole room and make you feel like you're right in the middle of the performance.

Tannoy or Fyne can be a logical next step from Klipsch, especially if looking for more refinement in presentation.

I had the Cornwall IV for some months last year. They did some things very well and were always a fun listen. I had to have them pretty close to the walls to get what I’d call respectable bass out of them. 
 

I picked up a pair of Paradigm Founder 120H after that while I still had them. Went back and forth for a few weeks and the Paradigms were definite keepers. If you can find a place to check them out I think you might be very surprised. The 120H in particular does not need a lot of power because of the powered woofers from 300hz down. They are dynamic monsters and refined to boot. I’m running a Pass Labs xa 30.5 with them now and the needle doesn’t move no matter how hard I push them. 

I have owned & thoroughly enjoyed my Volti Rivals for almost 3 years. I heard them at the Capitol Audiofest & bought the show pair after a few different listening sessions & comparing them to what I heard at a few other speaker companies including Klipsch. They strike a good balance of big, open, very dynamic & effortless sound yet still quite detailed, image well height & width wise ( ok on depth) & sound more like live music that most speakers out there. They’re also fairly easy to set up & get sounding very good. As they’re very sensitive, they don’t require heroic amplification to sound excellent although if you enjoy music up loud in a big room such as yours, a good quality 20- 40 watts / side would  probably be advisable for big peaks. 
 

There are many speakers in their price range that are a bit more detailed & bat range extended on the high end, can plumb the depths of sub 30hz bass ( although most likely no where near as tight & dynamic from 30 - 60 hz where it mostly counts anyway) & can pinpoint image better than the Rivals. If those are essential, then another speaker is probably a better choice. If you’re like myself where a good amount of those features are important but also want to be able to easily kick ass w/ big, live sound at realistic volume levels, the Volti’s should be given serious consideration. 

@jbhiller If you're open to further modding the Cornwalls changing out the inductors was extremely worthwhile, stock Klipsch not so good. I went to Jantzens, higher resolving, greater transparency, more natural timbre.

Klipsch Heritage can image if correct mods to speaker undertaken, room and setup optimized. High racks between speakers is no, no, diffusion on front wall is a good start. I've owned both box and open baffle speakers placed well out into room, my Klipschorns don't lack in depth of sound stage even though required placement has them right up against front wall in corner, I do have bay window between speakers which obviously serves to help in providing sound stage depth.

In regard to replacement speaker, assuming you like the horn presentation I'd stick with horns. As for myself, I know all about never saying never, but my Klipschorns are my end game speakers. Horns all about presence, you get an overwhelming sense of performers in room that is simply intoxicating for me. High resolution/transparency, dynamics inherent to the design. Get the imaging, sound staging and timbre right, you can have it all.