DSP. Thereby compounding your problems. Sigh.
What you want first and foremost are speakers of at least 92dB sensitivity. Because then all this nonsense of "selecting the proper integrated amp to drive them" disappears. That one decision alone frees you and opens up the entire universe of integrated amps, everything from 2 watts on up.
Next decision, to swarm or not to swarm. If you can have several subs then this frees you even further to consider smaller speakers with limited bass response. This will go hand in hand with your situation because the main problem with on the wall is bass bloat. Speakers light in the bass will be fine because a) wall reinforcement and b) subs to handle all the low bass you could ever desire.
This just leaves imaging. The second biggest problem with being so near the wall. Which you can somewhat reduce by selecting a speaker with the right dispersion pattern.
Or you can just say the heck with it, 2 out of three ain't bad, and get whatever 92dB or greater speakers you like, buy the Raven Blackhawk which will drive them beautifully and use the built-in subwoofer crossover combined with setting sub levels for superb bass.