Looking For A New Tube Integrated Amp With Very Specific Features

This is off your mark, I have a Nikko Alpha VI with Beta 50 preamp (original owner and downsizing).

Honestly, the best tube integrated meeting and exceeding your criteria is the Audio Note Cobra. We have one in our system that beautifully runs our Quad ESL-57s. Best sounding that we have found for our very picky speakers.

The Cobra isnt class a nor does it have balanced inputs

I don't know why particular design criteria is important, such as single-ended, class A, or even balanced--it is the sound that counts.  The Cobra is okay to me, but I like the comparably priced and lower cost offerings of Synthesis Audio more (I heard direct comparison of the Cobra and the slightly cheaper Synthesis alternative that had a quite good built in DAC too.  If I were interested in Audio Note, it would be the Oto or Soro, but neither has remote control of volume.