I owned both at the same time for about three weeks. While working, I liked the amp section of the Burson better with the HD800's, LCD2's, and the Edition 8's. The DAC in the antelope is better when used solely as a DAC to another device though. I had sold my T1 by the time I had The Zodiac, so can't comment on that pairing. The 600 sounded great out of the Burson though.
If I had the headphones you listed and had to choose one of those devices as an all-in-one, it would be the Burson.