Quite a few Chipotle restaurants, but there just isn't much else unless you're willing to pay a bit more for the good stuff. If you're not worried about crap oils, it's a lot easier to find something that will work. Everyone else cooks with soybean oil, almost without exception.
On the bright side, more and more "egg" restaurants (Egg & I, Cracked Egg...) are popping up here and there, but they usually close around 3pm. You've got a pretty good shot at finding something that's at least gluten free there.
And many of the bars/pubs serve either their breakfast menu or their full menu 24/7, so you could get an omelette.