I'm going to go out on a limb here and say that when you're hoarding copper, you aren't too terribly concerned about condition as it's probably already well circulated and you're saving it for some day when it's legal to melt. In which case, any verdigris or corrosion probably wouldn't mean much.
So...big glass jar? Carboy? 5-gallon Home Depot bucket? All of the above? Obviously you won't keep them out in the rain but your garage or someplace somewhat protected from the elements would be fine. I have several large glass jars that I keep my coppers in to keep the weight down. They stay in my office which is in a generally air conditioned house, which is to say that the humidity is almost always under 40%.
Totally different story if you're talking copper with numismatic value.



















