When you use the DAC as a digital volume control directly into an amp the DAC is lowering the bit depth and therefore taking resolution out of the bit stream.
If you want less boxes then go with an integrated amp, I'm thinking you would very much like to have the volume control in the analog world.
Go forth and listen, then listen some more and then even more. Talk is cheap. Trust you ears. They won't lie to you.
Regards,
barts