That doesn't make sense. If you desire a better DAC to feed the headphones you already own, how is buying another headphone going to satisfy you?
You and I are one the same chapter of our head-fi journey. I love my HD600, and I have a decent DAC. When I'm ready to upgrade, the DAC/Amp is what comes next. I'll want a more robust sound, with Balanced capabilities. That alone will upgrade the sound of the HD600. Then, and only then, will I even consider buying something like the Audeze LCD 2.2.
At this threshold I don't feel I'm getting the full potential of the HD600. Until I am, why would I even consider another set of cans? It'll be the same story all over again with the new pair.
Don't get me wrong, what I have sounds amazing. I simply desire a little more from my DAC. The D1 Plus has a fabulous amp section, though.