I store mine in the garage... pretty much not storing them in the summer at all, we dig them near the end of the summer, then let them dry, spread out on screens, for several weeks, and then store in paper grocery bags on shelves in the garage.
Or, if you have an extra refrigerator (like out in the garage or something), you could always set the temp a little higher than normal and store them in there until the weather gets cooler.