OP, ASR doesn’t like ANY HT receivers using HDMI. In his reviews, he segments them from the rest of the audio component world. He generally will show how a reviewed item stacks up against other of this type. Since they are, as a class more noisy with higher distortion, he’s pretty hard on them. (I’ll note that not all that long ago, those SINAD and THD specs looked pretty good.) ASR has a very good post up explaining how HDMI works and why it’s inherently problematic.
FWIW, I use a Marantz AV 7701 purchased used on eBay at an incredible price. Great reviews in its day. Hits all your points, although it does offer balanced input/output.