The first hit for "hot chocolate recipe" is the White House recipe and it is quite a cup. More like a molten chocolate bar than the powered stuff we all drank growing up. I "drank" a third of a mug and had to put it away.

But I placed a popsicle stick in it and expect to eat it as a snack in the morning.

I don't know if this is a recommendation. It's worth trying. Maybe cut it with some more milk.