In my experience adding the quickie to the chain was a bit too much, it was beautifully detailed but added just a tad too much tubyness in the mid range for my liking, but i was using it to feed a S.E.X. amp to drive my Grados/Hifimans. With a SS amp at the end of the chain it would probably work very well indeed, and for $99 there really isnt any reason not to give it a try. Having said all that i loved the quickie sound so much i turned mine into a dedicated headphone amp for my Ms-Pros.
Given the caliber of DAC and AMP you are using the new Smash would probably be a better fit, but i haven't tried it myself. ..yet.