I think it took my tip cuttings more than a month, but they kept their leaves meanwhile, so I just kept them in the water. I started with half a dozen and kept the two that struck roots. Rooting in moist mix might be better, or try both.
Meanwhile, try keeping it inside this summer. And when you get a start or two going, maybe you can find a strong young member of your/Larry's family to adopt the huge one.