GreyGoose, sorry to hear this happening.
From the looks of the picture you're in for a bad flat spot on the tire. I would make sure that they look at that and if you can feel it, they need to replace it.
About the only way for a bevel box like this without any spider gears like a normal car rear differential, is to be out of oil in the box and seize it up. There's only the bearings with the ring and pinion gears, so not much to break and lock it up. A chipped pinion or ring gear would have very noisy for some time.
Hope it gets fixe quickly. That is a very pretty sky you have there in Utah.
Have a great Memorial Weekend.