Personally I use an eARC extractor to run S/PDIF to an audio interface (MOTU Ultralite Mk5) and an RPi running camilladsp handles room correction and active crossovers. Overkill at the moment for just a few studio monitors and a sub, but it'll be a great solution when I get around to building some custom speakers.
Yep, I have a bunch of those audio extractors, they're awesome. In my home office setup I even have an HDMI output that's mirrored to several screens and extract audio at various points along the same path (two using the dedicated mini extractor boxes, one just using the headphone out on a monitor).
You can get a small ARC/eARC audio extractor with RCA or S/PDIF output and use your favorite amplifier or DAC with it.