Why not do a 180, and store the food in a waterproof container...
This is what I've been doing, thanks HFWR. I just tilt/dump out the water in the grocery store parking lot and throw the new ice in. All the ice melts after 1-2 days, but today I bought a 9 pound block -- we'll see how that goes.
Sure gets hot around here (I'm in San Clemente right now).