Not really... yea the deck and bracing needs to be removed.
You could try unscrewing the decks and brace mount back to deck and then remove diff case from the chassis.
I can usually get the front done in about 15-20mins if only doing that one. When I do the rear diff it takes about 20mins as well. I've never had to change them both during racing, but its possible to do between rounds based on how many cars your running.