I have a niece who eats irregularly, and always has from childhood through to adulthood. The thing is, that over a longer period, she reckons she eats about the same as everyone else, and it is a reasonably well balanced diet, just not taken via 3 meals a day. So is your binge eating like this, or do you binge on really unhealthy stuff. If it roughly balances overall, them maybe you need to cut yourself some slack, and ask your SW consultant to set your target weight where you are now, as it's a perfectly reasonable dress size for your height.
I know this doesn't fit with the official nutrition and diet advice, but I know that the psychology of managing your weight is very important. If you are constantly beating yourself up, then it seems inevitable that you will comfort yourself by bingeing. However, if your current eating pattern isn't doing you any harm, and is giving you the nutrients you need, then taking the pressure off yourself and accepting that sometimes you want to eat loads and other times you might not want to eat much or at all, seems better than worrying yourself into an early grave.