This is nothing more than spinning bolts, and putting parts back where you found them.
The most important part of the job is putting the case back in with the backlash shims going back where you found them. If you replace the case with a different one, chances are good that you will need to reset the backlash. This means a new shimpack, and a new set of skills.And the spool? It will need the backlash set too.
By far the simplest is to fix what you got and slam it back in.
I found a spool unbearable on the street with 325/50s and 295/50s as well.
BTW. Don't be peg-legging it. With just one tire spinning, it will be spinning at double the speedo-indicated speed.This can overheat the spider to crosspin interface to the point of seizure, which can lead to the retainer bolt being torn off and the pin ejected. It usually get's caught hitting the carrier when it's halfway out. When this happens, everything locks up and the wheels stop turning. If this happens at 30 or more mph, the car can spin. I guarantee you won't be ready for that.