If you are spending that much on your headphones and considering a nice amp, I would reccomend splurging a bit and gettingan Audiophile 24/96. It has RCA outs I believe. Your nest best bet is probably ...
If these were the early 2000s. We would have said that having a sound card is a flex. With good reason, too. You'd slap one into your PC, crank up a media player, and pretend you were mastering audio.