I wouldn't use the phrase "long slow haul", I would say it's not going to happen overnight, but you should get there eventually. It might be too early to tell, but if you were having no more than 50g of carbs every day, which would mean no binge eating, and you were still not making much progress after another 3 months, then you might need to really look into whether something else is going on. But you are not at that point yet.
If you are honest with yourself about how much you are eating when you binge eat, and keep a record of when you binge, it should be possible to adjust that 50g to take the extra carbs into account. If your average daily carbs are, for argument's sake, 100g, or 150g or more, I think you would be able to see why you aren't getting your levels down. But a binge once a week or less often wouldn't change the daily average much.
I think the HbA1c would give a good reflection of how things are going. If you look at the big picture, taking 6 or even 9 months to achieve your BG goals isn't that much worse than taking 3 months. Every day you are not clocking up the levels you used to, is a good day, with lower risk of complications. It's hard to be patient. But you are heading in the right direction.