I find the OP’s ask a bit tough.  

Finding a good DAC within an integrated is tough as many are an afterthought built to a cost.

Finding an integrated with HT past-through greatly limits choices also, seemingly eliminating low watt tube amplification which is typically matched with high efficiency speakers like Volti.

So the solution is likely a SS integrated, but maybe not ideal high-end Sonics vs other available integrates without the DAC+HT requirements.  

@kennyc yes it’s going to be a tough deal finding something  for the Volti speakers..I have to make it easy for the wife and tired of dealing will this gear..I was reading about a guy who has the Volti Rivals using a Naim Uniti Nova and loving it…so it must be possible…

Vinnie Rossi L2i SE Integrated Amplifier with PHONO stage and DAC see here

’’The really interesting bit, however, is found right next to each EH300B tube’s Yamamoto Teflon socket: a toggle switch. When these are switched leftward—as shipped from Rossi’s Massachusetts shop—the preamp stage runs through the dimly glowing EH300Bs. Flip the toggles to the right and the EH300Bs are bypassed, the preamp then running in solid-state mode via a class-A JFET stage. The former route provides 32dB of voltage gain, the latter 24dB. This is very cool (see below). On the L2i-SE’s rear panel are one pair of balanced (XLR) and two pairs of unbalanced (RCA) inputs, and one pair each of balanced and unbalanced outputs.’’

Mike

The question in my mind. Why has your wife banned tubes from your household? Is it because you have young children or that they use more electric? Just curious 

It will be difficult to find a reasonably priced integrated to replace your Pass combo. This is a really good audiophile combination you have. DAC and streaming tech is evolving all the time, why not keeping it separate? Have you considered Accuphase? This is one I would explore.