Other than scrap metal she would have little use to the IJN. She was heavily damaged and had turbo-electric drive. I'm not sure the IJN could reliably operate the electric motors to meet IJN standards. Had she been captured and survived attempts by the allies to sink her in IJN custody she would have been towed to Rabul, then Truk lagoon, and then probably Kure. By that time the disastrous loses at Midway would have resulted in her being salvaged and scrapped for material to complete new carriers. Her armor and steel would be good for repairing IJN ships.
Upon arriving in Japan she would have some propaganda value. External damage would be repaired and she would be painted to look operational for news reels. Then towed tied up at a naval shipyard where she could be examined and then raided for material. I'd imagine you would model her for the news reel footage. Put her in either IJN colors or faux USN colors. Remember that the
8"/55 twin guns were removed some time before the battle and
quad 1.1" were fit in their place. Replace the 1.1" with IJN weapons to make it look fearsome. IIRC the
IJN 8 cm high angle AA gun had already been pulled from surface forces because of its slow rate of fire, however it looks mean. A gaudy fake radar installation would be a nice touch. And for the faux USN scenario pre-war IJN and IJA aircraft in USN marking on the flight deck would be nice for propaganda purposes.