Typical disposable water bottles are designed to be able to withstand being frozen. I keep a bunch in my truck and have never had a problem. The only thing that happens is the bottom goes from being flat to being rounded (so they won't stand on end anymore). Otherwise, no big deal.
And sometimes these bottles can be fun. Occasionaly the water temp will be below freezing and yet the water is still liquid. Give the bottle a quick tap and the water crystalizes in a second or two. Neat.