Meghan, is it possible that the "low carb" tortilla had some things in it that aren't SBD-safe? Remember, this isn't a low carb diet, and often there are things in "low carb" products that aren't allowed on South Beach. In the future, stick with whole wheat (or other whole grains, like Ezekiel brand) tortillas to be safe. If the tortilla had some sugar in it and you are really susceptible, it's possible that it affected your detox and led to the cravings.
But that's another question: what actually happened between the tortilla and the binge? Did you have cravings? What started the binge? If the tortilla had bad things in it (or, strangely, caused intense cravings on its own), you should have had a physical response. If you didn't, then what we're talking about here is your brain and emotions, not your blood sugar.
If it's your brain and emotions, you'll need to do some deep thinking. You may have either:
1. Convinced yourself that any carbs would make you go crazy and binge, then followed through on that belief
2. Deprived yourself of important nutrients and yummy food for so long (Dr. A states emphatically that you should never do Phase 1 longer than 2 weeks as it's not healthy to do so) that when you finally had a taste of both, you went overboard.
Or, it could be both! Either way, here's what I'd do: do Phase 1 again for 3-5 days (however long it takes to no longer feel cravings and NO more than that) and then, following the guidelines in the book and in the posts in the FAQ, start Phase 2 by adding in lower glycemic index foods (try berries), one at a time, to see how you feel. Before doing this, get rid of every non-SBD food in your house, work, etc. That way, if cravings sneak up on you, you can get rid of them before you even have a chance to eat something off plan.
I know you must feel disappointed by recent events, but this is all fixable. I'm sure you can get back on track, if for no other reason than to regain the calm, balanced, energetic feeling I'm sure you had all last month!
P.S. Edited to add: BTW, if you suffer from depression, you may have used sugar and bad carbs to help self medicate. Just like blood sugar fluctuates wildly when you're bingeing on those foods, so do your seratonin and other hormone levels. That could explain the depression during bingeing.