DAC for my HHB Burnit

I posted this over at AA, but thought maybe I'd reach a different audience over here (my apologies for cross-readers).

I'd like to improve upon my HHB Burnit, which I use as a player. Check out the players description and specs here.

I'd like a DAC that I can leave on all the time, and that doesn't need to be out in open view (so it can stay behind a closed cabinet door).

I value a more upfront presentation; palpable images, liquid, yet detailed. Don't necessarily need all the bass.

My first thoughts were something from Bel Canto, Birdland, or Perpetual P-1, P-3...

Thanks for any suggestions!