Low gain dac!

Try the wyred for sound 10th anniversary dac. One of the most analog sounding dacs out there according to the reviewers. Beat many more expensive dacs like the COS1 Bricasti, chord, Sim Audio that cost twice as much.

OP has made it clear he really enjoys his Supratek preamp. It’s his system and his taste. So seeking a DAC with lower output voltage is perfectly reasonable. I wouldn’t disregard his preferences by condescendingly calling it "tube addiction". The attenuators may or may not be a concern. Many folks have used them effectively and successfully. He will know soon enough if they’re a solution.
Charles

I find it humorous that the OP specifically ask for DAC recommendations,

I find it humorous that some can’t tell the Primare dac’s (good dac btw) is not the problem, many give those voltages and more, mine gives 8v!!!.
The problem if they bothered to investigate is the massive gain structure Supratek preamps have, known everywhere, good for low output vinyl systems.

I am not a technical person. When I was in email with Mick at Supratek, I told him about my system and sent him a picture of the speck of the amp, he told me they were ideal for each other!!
But still, my system sounds really great, that is not the problem, only more volume control is wished for 😜

If OP wants a new DAC, there are plenty of great ones to choose from. With a high gain pre and an amp with only .74V input sensitivity almost any DAC is going to need severe attenuation. So even a new DAC may not solve the entire problem. Rather than getting rid of a pre the OP obviously  likes, my suggestion was to try additional attenuation between the DAC and the pre. If inline attenuators have impedance issues, an inexpensive passive may be more compatible with the additional advantage of both a wider range and finer graduations of adjustment.

As far as alternate DACs are concerned, if you look at ones with variable output be sure to check how the volume is adjusted. There can be drawbacks with each method depending on the execution, especially at very low volume settings. For fixed output DACs the lowest I know of is 1V for the Chord Qutest. It’s adjustable at startup (1, 2, or 3V). I run mine higher but use a pre with unity gain.