I would agree with earlier posts that for liquids that actually hydrate you, a Camelbak type deal is probably your only solution. That's what i use in crazy cold.

As far as non hydrating liquids, I have a flask cage on my fat bike. The liquid in the flask never freezes. That liquid is usually Jameson or Bullit Rye. The fatbike world around here is very social. A little nip halfway through a long ride, sharing the moment with some pals, it's all good. It's more like a custom than it is a hopeless addiction.

It looks like this.