Well, I would, and do, eat something, light, say in the neighborhood of 200 kcal, fairly low on the GI (yes, most nutritionists are heading towards an II, or insulin index vice the GI, it's more of a glycemic load of the entire meal rather than judging by individual components), and keep it somewhat isocaloric, or at least in the ratio of what you are currently doing. This will lead to a slower breakdown, and give your body what it needs during the fasting period of sleep without overloading it and causing fat storage.
Translation: Cottage cheese. Great whey/casein profile, decent carb content. Get yourself some flax meal and mix it in and not only will you have a great night time snack, you will be exceedingly regular in the morning.