I keep my milk in glass gallon jars and it seems to cool quickly enough that I don't have any problems with it. I have the fridge set at about 35 degrees, too, so that helps.
I got these jars free from a local bowling alley - they are pickle jars. I got the pickle odor out of the lids by coating the insides of them with dish soap and allowing them to sit that way for 3 days, then washed them out. No more pickle odor!
That's a lot of milk, isn't it? My cow freshens at about that level, too, but I sharemilk with the calf, so I don't have to manage it all. Plus, we keep chickens and raise pigs each summer, so I feed them a lot of clabbered milk, too. It helps cut down on grain costs for those animals.