While I have never done it, I recall reading a couple of stories of people who have. I was able to find one quickly that was published fairly recently

http://www.thedailybeast.com/blogs-a...ty-with-no-id/

I believe that while signs are posted saying you must have ID, the official policy is that you do not have to have an ID, but you open yourself up to more extensive questioning if you do not. I think you should be able to make it through, but I would give yourself plenty of time. Just thinking in practical terms, I would think they would have to set something up for situations like your own. But practicality and TSA have not always seemed to go hand in hand.