Ah no you'll get condensation where warm air drops in temperature - that is, this setup will have lots of condensation around the *bottles* not in the case (where cool air is warming up.)
It should work fairly well for a few hours at least. 10 lbs of water = 4480 grams of 0 C water , that's a lot of joules it can absorb.
4 joules per gram per degree C for water, right? That's 4 *4480 * 20C = 360,000
25 cu ft of air per minute, lowered by 5C, = 31.5 grams per cu ft:
1 Joule to raise 1 g air 1C. 5 x 31.5 grams = 157 joules per minute.
360,000 joules = 2300 minutes or 38 hrs of lowering 25 CFM air 5C.
And that doesn't count the joules used in converting 0C ice to 0C water (lots).
Still going to have to replace bottles every day or two.
the wesson
(edit: forgot total temp rise of 20C, sorry)