Hybrid Wireless Network-on-Chip (HWNoC) provides high bandwidth, low latency and flexible topology configurations, making this emerging technology a scalable communication fabric for future Many-Core System-on-Chips (MCSoCs). On the other hand, dark silicon is dominating the chip footage of upcoming MCSoCs since Dennard scaling fails due to the voltage scaling problem that results in higher power densities. Moreover, congestion avoidance and hot-spot prevention are two important challenges of HWNoC-based MCSoCs in dark silicon age, Therefore, in this paper, a novel task mapping approach for HWNoC is introduced in order to first balance the usage of wireless links by avoiding congestion over wireless routers and second spread temperature across the whole chip by utilizing dark silicon. Simulation results show significant improvement in both congestion and temperature control of the system, compared to state-of-The-Art works.