Agree with the suggestion to invest in a quality amp, especially for 2 channel/music. Quality preamp (either incorporated into an AVR or stand-alone) will also add to your system for music.
As an alternate to Dirac, Anthem's room correction (proprietary) is excellent. I've not used Dirac, but some in other threads I follow think the Anthem RC is almost as - or as - good as Dirac. With Anthem's introduction of new models recently, likely to be some used processors (AVM60) or receivers (MRX x20) for sale at good prices (check usaudiomart.com).