M'kay, what was the deal with Yamato guns? I have found nothing about problems.
Was ship in yard all the time then, or was she in active duty?
Actually Wikipedia writes:
As war loomed, priority was given to accelerating military construction. On 16 December—months ahead of schedule—the battleship was formally commissioned at Kure.
which would suggest that ship was accelerated,
and if it was accelerated, she should be also accelerated in-game, so current date is date with acceleration, and real commission time would be 26 December.
Now, as for special Shinano mission:
It was supposed to have space for 139 planes, for rearming, and repair them. In-game planes can not take ordnance to another CV, so that could mean 139 torpedoes in pool for Shinano, however that would defeat the purpose of it, as with that number of torpedoes, it will be main assault ship, not auxiliary.
And greatest problem, for Shinano, is conversion of its Air Groups. Seeing, how it is done for CSs, it seems, the only option is to have separate Float Plane unit, for every future CV unit , which Shinano should have. That also indicates, that pre-conversion HULL should NOT be CV, as its airgroups would overflow with pilots, if downgraded to few Float Planes, after conversion to BB.
I would like to point you to my earlier experiment on this topic.