Low gain dac!

I am contemplating buying a new dac, the dac I have today has 4.3v output on both balanced and RCA, which makes me only use a small turn on the volume knob on my pre amp, which is a high gain design, volume starts at 6 o’clock and too loud at 8-9!
Any input is appreciated, ladde dac’s or more conventional dac’s doesn’t matter, both designs have my interest.
My system:
Primare Dac30
Supratek Cabernet pre
Belles SA 30 power amp
Graham Audio LS 5/9

Thanks!