This is really the way to go. I've brought cheeses with me camping before and I always find the the way to make sure it doesn't smell funny or have that cooler taste is to seal it separately in a container.I always put the cheese in a sealed container and then in the cooler. For some reason when water gets on the cheese it makes it funny tasting. I know exactly what you mean. Try putting it in a container that is sealed so the water can't touch the cheese. (Ice that is melted).