The accurate identification of charged hadrons, distinguishing between pions, kaons, and protons, stands as a pivotal aspect in the physics analyses conducted at LHCb. Playing a crucial role in these measurements, the Ring Imaging Cherenkov (RICH) system offers outstanding Particle Identification (PID) capabilities across a wide momentum spectrum, ranging from 2.6 to 100 GeV/$c$. LHCb is planning an Upgrade II in Run 5 and 6 to exploit the full potential of Hi-Lumi LHC and collect ∼ 300 fb$^{−2}$, by operating at instantaneous luminosity 1.0 – 1.5 x 10 $^{34}$ cm$^{−2}$s$^{−1}$. The RICH system will be fully upgraded to cope with such challenging conditions. The objective of the study is to examine different layouts of the RICH system, together with different types of photon detectors and compare the resulting performance to identify the best combination for the future of the experiment.