Final piece of the puzzle: digital correction in a suboptimal room

Hey guys!

I’m in the process of upgrading/tweaking my system and there’s one "final" piece of the puzzle I need to find.

Current setup:

• Speakers: Klipsch Forte III
• Subwoofer: Klipsch R-115SW
• Amplifier: Hegel H190
• DAC: Chord Hugo 2
• Room size: 4*5 meters (roughly 13*16 ft)
• Four wall-wall corners treated with GIK Tri-Trap Corner Bass Trap

• Two front wall-wall-ceiling corners treated with GIK Soffit Bass trap

• Side walls, rear wall and ceiling early reflection points treated with Monster bass traps

Considering the small size of the room and the big size of the speakers, I reached the conclusion that a quite heavy acoustic treatment was needed for both bass and mid high early reflections (as you can see from all the acoustic treatments in my setup). I’m still waiting for the panels to be delivered though (looking forward to!!).

My next move would be that of using digital correction as the final tweak to reach a flatter frequency response curve in my room (or at least in my listening spot). But how?

Few considerations:

1) I’d like to use my Chord Hugo 2 dac somewhere in the chain. I suppose the audio chain will be something like: Macbook --> DSP device --> Hugo 2 DAC --> Amplifier --> Speakers
2) I’d like to have only one digital-analog conversion (carried by Hugo 2)
3) I don’t have a clear budget. I’m willing to spend money if the solution proposed solves my pain in a elegant way. Say 2000 usd max?

Questions:

1. What DSP device/software would you suggest me to get?
2. The Klipsch Forte III frequency response: 38Hz – 20kHz (+/- 3 dB) How should I cross over to the subwoofer? At which frequency? At around 40Hz, 60Hz or 80Hz? And why?
3. Where should the subwoofer fit in the chain in a way that it gets its input signal converted by Hugo 2?
4. But then, if I place my subwoofer after the DAC in the audio chain, will the DSP device still be able to control the sub’s input signal separately from the Forte speakers? (so that I’m able to have control on crossover points between speakers and sub)
5. BONUS: It might be nice to have a system where I'm able to stream wirelessly from iPhone/Macbook (Airplay, Aptx) to the whole chain. Maybe a DSP device with integrated streamer? (furthermore consider that the Hugo 2 is able to do that via bluetooth aptx and the amplifier Hegel H190 is able to receive through Airplay and bluetooth aptx)

Thank you so much guys for your help!!