Hybrid analog-digital beamforming has been shown to reduce hardware cost and power consumption in massive MIMO systems, at the expense of increased radiated power for given performance targets. To alleviate the above shortfall, in this paper we exploit the concept of constructive interference (CI) that has been shown to offer significant radiated power savings in fully-digital multi-user downlink MIMO systems. We explore analog beamforming design, and develop solutions specifically tailored for CI-based hybrid beamforming. We also evaluate the performance of the presented techniques and their computational complexities using simulation results.