For that budget I’d upgrade the DAC, and for God’s sake lose the optical digital connection. Get these two things and I think you’ll realize a notable improvement.
https://www.amazon.com/dp/B096S6HBQY/ref=syn_sd_onsite_desktop_30?ie=UTF8&psc=1&pd_rd_plhdr=t
https://www.usaudiomart.com/details/649932466-acoustic-zen-mc2-digital-coax-cable-1m/
Here’s a review of the Draco DAC that, as it turns out, is pretty comparable to my $1100 Musician Pegasus DAC that is, in turn, pretty comparable to the Denafrips Pontus ll. DO NOT underestimate the role of the digital cable because it makes a huge difference.
https://soundnews.net/sources/dacs/musician-audio-draco-r-2r-ladder-dac-review/
My advice, your next move, if 2-channel audio is important, is to invest in a good stereo integrated amp that’ll obliterate your AVR. Use the front L/R preouts from the Anthem into a good stereo integrated and it’ll be a HUGE improvement. AVR amps and preamp sections by and large suck as they’re designed to cram as many features into a box at a palatable price point. The first casualty — power supplies. Why? Because they’re one of the most expensive components in good audio equipment and not even Anthem can include quality power supplies and keep their AVRs cost competitive. So, my advice, do the DAC now and if 2-channel is important your next upgrade fer sure should be adding a good stereo integrated into your setup.
Anyway, hope this helps, and best of luck.