You will be wasting $200 with that combo. Double that amount and I can recommend 2 DACs that would upgrade your sound.
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I would recommend the Keces 131 sold here. Great build quality, well balanced, relaxed highs and quite listenable. Another one would be the new Cambridge Dacmagic. Dynamic and full bodied but a hotter top end, great bang for the buck. If you have lively speakers like Focals pick Keces, otherwise go for the dacmagic.