The frequency-selectivity of beamforming, known as the beam squint, significantly impacts the performance of a system with large signal bandwidths. Standard hybrid beamforming (HBF) transceiver architectures based on frequency-independent phase shifters (PS-HBF) are sensitive to the phases and physical directions with limited capability to compensate for the detrimental effects of the beam squint. Motivated by the fact that switches are phase-independent and more power/cost efficient than phase shifters, we consider the switch-based HBF (SW-HBF) for wideband large-scale multiple-input multiple-output systems in this paper. We first derive a closed-form expression of the beam squint ratio of the PS-HBF architecture and compare the expected array gains of both SW-HBF and PS-HBF architectures. The results show that SW-HBF is more robust to the beam squint effect. We then focus on the SW-HBF design to maximize the system spectral efficiency. The formulated problem is a non-convex mixed-integer program. We propose three efficient suboptimal SW-HBF algorithms based on tabu search and projected gradient ascend. Simulations show that the proposed SW-HBF schemes achieve near-optimal performance with low complexity. Furthermore, they attain up to 26% spectral efficiency and 90% energy efficiency enhancements compared to the PS-HBF scheme.