How about going to a book store? I find that if I'm out of the house (which I can't really do since I have kids) at night, it keeps me busy and out of trouble.
Or maybe a library? How about using this time to go to the gym and just walk on the treadmill? Even if you go very slowly, it's still better than binge eating at home. I'm going to sound like such a dork, but sometimes, I'll sing karaoke on youtube! It's really funny but I love it (my husband...not so much).
Can you play games online against other people? I don't like that sort of thing, but some do. What about painting with oils? Put a mud mask on your face. Call your friends. Watch a great movie rental. Bubble bath? Paint your nails.
Finally, just make a decision not to binge. You know you're doing it cuz it is just temporary relief. If you can go to bed and read and fall asleep, that's still better than eating mass quantities of food you don't need. I have a major problem with binge eating, so no judgment from me....only empathy. It's great that you've figured out why, by the way....that is really half the battle.