We could basically use the Spaceflight Chronology
mission as is for a Clarke/Kubrick lookalike story, with 2008 construction, 2009 launch, 2014 first stop at Jupiter, and 2020 stop at Saturn. As the book lists 3 officers and 12 crew, but the flight patch only gives three names, we could say the three were the (mostly) awake guys and the 12 were the sleeping payload...
Moreover, as the book story speaks of Christopher finding signs of alien mining on Saturn's moons, but "One Small Step" claims there was no evidence of extraterrestrials before the 2030s, we could claim that the news were kept secret until the ship had physically returned to Earth - another decade by that timetable.
The hop from that sort of propulsive performance to the "One Small Step" rescue mission of Earth-to-Mars-in-a-week would indeed make cryogenics outdated and fully support the "Space Seed" claims!