Integrated with DAC or Powered Speakers for Desktop Computer Listening

I'm trying to assemble a good sounding (but budget) system for my home office desk.  The speakers need to be on the smaller side, due to space concerns.  I would have room for a component on the desk, but would prefer a smaller footprint.  My main intent is to play music from my iMac computer.  I have two hard drives full of CDs that I had ripped as FLAC files in the past, and a large iTunes library.

I've read a lot about powered speakers for the desktop (Vanatoo, Kanto TUK, etc.) and they might end up as the right solution.  Alternatively I'm wondering if buying an integrated amp with a DAC and using some old Anthony Gallo Due speakers might be a better solution.  The Due speakers have a small footprint and worked well in an older TV room set-up we had years ago.  

Am I right in thinking that picking an option with a DAC will sound noticeably better than simply running it from an aux cable?  If so, I think I would need to pick an alternative with a USB input, correct?  Many of the 'computer-friendly' powered speaker systems now have a USB input, and some of the integrated amps do as well.

If the integrated amp is a better solution, I've researched the PSAudio Sprout 100, the Audiolab M-One, the Rotel A12 and the Parasound New Classic 200.  Would any of these be better or worse, or do you have other suggestions?  

I appreciate your help!