Well your not alone. My daughter is 2 and if she don't have her milk at bedtime she cries and screams. I had her down to 1/2 cup now she wants 2 cups at bedtime. So they said she is over what they want her to be. She has a good appetite too. I also have a son who will be 4 in Oct. So they get about the same but she likes more milk and definately at bedtime, but he did too and now he rarely wants a drink at bedtime. By the time he was 3 he quit taking anything at bedtime.
They will do it on there time, so I learned. They never did what the the Dr think they should like off the bottle by 12 mo and on to a sippy cup. It was later when that happened. But neither one was on a binkie either.
They both would perfer milk over juice and they tell me or show me in the frig. But they drink 2% and neither are over weight and has any cavities either when others there age do. They only get limited juice and I dilute there juice.
I found these short water bottle made by Ozarka with pop up lids that we take outside or to the park. They like those better, and they think there a big kid.
Hope this helps ! I know my son slowed down on milk on his schedule, we offer him milk at bedtime but he wouldn't drink it anymore so we quit and he doesn't want it now, even though his sister does. I am sure she do the samething too when she gets
the same age.