If you are concerned about your blood sugar levels at night time, then you should also stop drinking your protein with milk since milk has enough carbs (lactose) to raise your blood levels to the extent where the insulin hormone kicks in (insulin does not go up, it kicks in. It is your blood sugar levels that actually elevate, not insulin).
Low fat cottage cheese (1% milkfat) has a caloric ratio of 73% Protein and the rest is an almost equal split between fats and carbs; whereas, caloric ratio of skim milk is 42% Protein and 53% Carbs, making milk considerably higher in both GI and GL.
In sum, yes to cottage cheese and no to milk at night.