Hyuga Kagami's inspiration for the plan came from Obito.
After Obito had been rescued by Madara, he had immediately wanted to rush to Kakashi and Nohara Rin's aid upon hearing that they were in danger. But at the time, his severe injuries had not yet healed. Let alone saving others, even moving around was extremely difficult for him.
At that moment, the specially modified White Zetsu clone, "Tobi," had given Obito tremendous help.
Obito had "worn" Tobi, the specially modified White Zetsu clone, on his body like a suit of armor. With Tobi's resilient body and the endless First Hokage chakra contained within his White Zetsu physique, Obito had immediately gained the ability to go rescue Kakashi and Nohara Rin.
Hyuga Kagami's plan was to use his advanced biological cloning technology to custom-make a "biological armor" for Karin, one similar to Tobi, the specially modified White Zetsu clone.
Karin, who was currently in the process of fusing with the Rinnegan, was in an extremely unstable physical condition. She simply could not withstand the stimulation of any ritual or surgery.
Only by receiving assistance through external attire, as Obito had back then, could he help her while minimizing the effects of outside stimulation on her body.
Thus, the cooperative model between Obito and Tobi was the only practical solution Hyuga Kagami could think of for the moment.
Moreover, this model could not only increase Karin's chances of successfully fusing with the Rinnegan and help her endure this most difficult hurdle, but also enhance her combat strength afterward.
For example, on the night of the Nine-Tails Incident, the reason fourteen- or fifteen-year-old Obito had been able to fight the Fourth Hokage and directly withstand one of the Fourth Hokage's Rasengan was inseparably linked to the fact that he had been wearing Tobi.