Looks like it is based on Arch, so you will be using Pacman as your package manager, similar to aptitude/apt-get which is what Ubuntu uses, as do Ubuntu spinoffs like Linux Mint. However, Arch Linux is a much more advanced distribution to just use and is geared more towards the advanced linux user who knows his/her way around the command line. It is rated up there with Gentoo in terms of what you can do with it but is found to be much more stable overall. LMDE (Linux Mint Debian) is based on Debian rolling and is functionally different than Ubuntu in a few ways but share enough similarities most can figure it out with a little work.
If you are looking to use Linux as a turn-key solution, from someone who has been working with it since Slackware 1, I have yet to this day, used a release that was "turn-key". Even "Turn Key Linux" which is a LAMP virtual server you download and turn on, still has dependency issues and programs to be installed.
Ubuntu comes fairly close to turn-key because of the GUI but the desktop version loads a lot of extra non-sense.
You can load up a Ubuntu server install, use apt-get to install mpd and ALSA libraries, then go find ncmpcpp and add its apt sources, off yah go. To make the system headless, install openSSH and toss in on the network, then control it from any other PC in your house with Putty or another terminal client. Just use nano to edit your /etc/network/interfaces file with the proper information. If you're using wireless, have fun. I would go to my next option if wireless is your thing. Getting it to run directly from the command line takes a few extra steps a novice may not be up for.
To go a different route, with a GUI, would recommend keeping it as simple as possible and get rid of the bloated desktop OS'. They were developed for people who wanted a Windows type GUI on a command line style system.
The more you add to linux the more tie-ins get added and the more things begin getting linked together, such as Pulse Audio, KMix, GStreamer, etc. Using a minimalist GUI/OS like Xubuntu keeps resources down and gives you a fairly straight forward OS to use that will utilize very minimal resources. You will still want to confirm ALSA libraries are installed using aptitude or apt-get.
After that, toss on MPD and use Sonata as a front-end, or use something like DeadBeef, Clementine, which will still very easily provide bit-perfect. All of these should have no issue seeing an SPDIF DAC or USB DAC.
To verify your output, you can 'cat' out your proc/streams or hw_params file located under the proper stream subfolder (the one related to your DAC) which can be found by doing an 'asound -l'.
There are several articles online with sample MPD and ALSA configurations for bit-perfect on Linux, it is one of the simplest setups to get going and will run on a box of hair and well wishes, like most stripped down distros.
You can also try JRiver 19 for Linux, which they are beta testing and appears to work great based on reviews on their forums from testers, although I haven't tried it yet at work so can't personally comment compared to the Windows version.