Yup, RME is a good company to go with, but you're looking at $750 for the Babyface (USB) and $1600 for the Fireface (FW/USB). Not cheap.
Interfaces don't focus on the headphone output as much as the mic pres, DSP, etc (RMEs are built like tanks, have
very good mic pres, and very stable drivers).
I own an RME Fireface, and I think the headphone amp sounds nice, but I have nothing to compare it to since I don't own a headphone amp (yet).
It does sound better than the onboard sound of my Mac Pro, and at least as good as the sound of my Titanium HD in my PC.
Head over to
http://www.gearslutz.com/board/music-computers/ and you'll find reams of opinions (both factual and... not; kinda like this forum, lol). EDIT, looks like you've already been there
But a few of the chaps at Gearslutz are top producers, most of them record/produce for a living, and a few of them even master using the LCD-2s, so they do know headphones.