Unless you plan on doing some real hiking on rough or slippery terrain I would say that leather tennis shoes will do just fine.
I pack one pair of lightweight, waterproof over shoes. They are the "Totes" type but a little heavier with a non-slip sole. I use them in the winter, hear in Minnesota. They work just fine and take little or no space or weight in the suitcase. You can purchase them through Cabelas online catalog or a sporting goods store.
Temsco, helicopter glacier tour, did provide us provide us with footwear to wear on the glacier.