Klipsch Heresy IV vs Omega CAM

I’d speculate that you would prefer the Omegas. There is a good reason why Klipsch’ marketing slogan was “pissing off the neighbors since 1946”. They go to 11.
Since you need to put them up against a wall, if you go with CAMs, you will want to plug the rear ports (I use socks). Otherwise, the close proximity to the wall can cause an unwanted chuffing or boomy bass effect. The downside is that the plugged ports will attenuate low frequencies. An alternative is to go with front ported speakers.
I have seen custom front-ported Omegas, so you might call Louis at Omega for advice. If you’re open to other brands, Focal’s Chora 806 and Aria 906 are front ported, reasonably priced (the 806 anyway), and reasonably efficient.

Although I’m a klipsch fanatic, I would say to pass on the Heresy in your situation. 7 ft is pretty close and horns need a little distance between you and them. That said, I would also look for something without a rear port, so I’d pass on the Omegas too. Since your room is small and you are almost near field, maybe even a sealed box. Bass will be less and tighter but less likely to annoy the neighbors.

I would go CAM or alnico in the 3xrs cabinet w front port. Certainly call Louis at Omega. 

The Heresy is a much better speaker honed over decades. Whizzer cones are a cheap inaccurate way of making treble. The crossover between the woofer cone and the whizzer is mechanical. Only the whizzer is producing treble as the woofer cone can not move fast enough but, the whizzer is still moving with the bass, doppler distorting everything it does. However, you do not have to add an electronic crossover and another driver. Cheap. IMHO the Omegas are all about profit. The Heresy's were designed by a man who was truly passionate about sound. The Cornwall and Heresy are Klipsch's best speakers and they represent great values. You will lover the Heresy's. They sound like a much larger loudspeaker. Add subwoofers and a 2 way crossover down the line and you will be rocking for sure!

I disagree with mijostyn.  Louis of Omega is also passionate about sound.  If he was in it just for profit, he would be pricing his speakers more similar to the single driver Voxactiv, Charley, and Cube speaker brands.  I have not heard the CAMs, but did pick the SAMs over Harbeth M30.1s after a lengthy home audition of the Harbeth several years ago, and have never regretted my choice.  Not sure whether mijostyn has ever actually listened to any of the alnico Omega speakers, and I find it very off-putting that he calls them cheap and he states that Louis is only concerned about profit (so Klipsch doesn’t care about profit?).  Philoh, please give Louis of Omega a call (as others have suggested) and chat with him about what you are looking for.  You will find out that he is also passionate about sound, and will be very helpful whether you go with his product or not.