The freezer section held bottles of water just fine for me. I don't generally use anything more than a 12 ounce bottle, but the freezer runs across the width of the frdige as shown in the picture. Sometimes it is just a small cube in the corner, but this one is larger. It was bigger than I expected, but as mentioned, not large enough to hold 1.2 gal of ice cream.
The picture above is just like the one in our studio in early april at OKW.
You mentioned using wide mouth bottles and putting ice in them. I usually take Tropicana Twister, those 10-12 oz. bottles have large openings, when juice is consumed I use them for water and ice. Just remember that there is not an ice machine in the buildings, they will have to go to the pool area for ice. At least that was the case with our building around on Miller Pond Road.