If it's meant to be hooked up to a computer full-time, what about the uDac2? The headphone-only version is available for $99, and for $129 you get line-level outputs and a digital coax out. It runs from USB power and is very compact, but doesn't have a battery. It's very solidly built and the reviews I've read put it head and shoulders above the Icon Mobile for sound quality, but I haven't compared them myself. Power-wise, my DT770 Pro-80 phones hit the "too loud" mark at about 35% volume on the uDac and I'm certain it's capable of driving more demanding headphones.
I've only had mine since Monday, but I really do like it.