Your binging problem sounds a LOT like mine. I also initially binged as a way to cope, but now, i'm perfectly happy, and i still binge. I had the same problem as you. Reduce calories? Caused binging. Increasing calories? Still binged. I finally gave up calorie counting altogether, and that was the only thing that could stop the binging--because even if i allowed myself to eat 3000 calories a day, i still binged! It was like ANY kind of control caused me to go crazy and binge.
I would not say i am RID of my binging problem, by any means, but it only happens when i try to restrict calories or i'm going through a stressful time. I would say that part of your binging problem is because you're at a lower weight compared to what your body is used to. Your body wants to get back to that weight. That is not to say your binging is not also caused my emotions, stress, etc. But these things are all combining to make your binging problem worse.
I don't know what the solution is. For now, i have decided to stop fighting my weight. So i'm up to 155.5 pounds this morning

I wish i could lose 10 pounds, but i don't know if it's worth the whole eating-disorder-binging-obsessing with food thing.