This study evaluates the functional requirements of the Super Proton-proton Collider (SPPC) beam screen in view of the CEPC-SPPC project about to be built in China and aims to prove the feasibility of using the scaled FCC-type beam screen. Moreover, the study puts forward several feasible updated schemes with extra-cooling to optimize the cryogenic efficiency under the 12.8 W/m synchrotron radiation (SR) heat load and decrease the leaked SR power to the cold bore. The power distribution calculated by Synrad+ is imported into the Ansys workbench to get the exact thermal profile. The results show that the new scheme can restrict the temperature rise within 1 K, with a 30 g/s mass flow rate of the coolants. Such a profile can save over 1.3 MW electric power per turn.