Nowadays, unmanned aerial vehicles (UAV) are considered for a variety of different applications. One of the important ones is automatic collection of sensory data. In this work, we study the use of UAV-based for secure remote monitoring network enabled via LoRaWAN lower-power wide area (LPWA) network. In the considered use-case the UAVs carry sensors collecting data and LoRa modules to transmit collected data to the stationary gateway. The work focuses on congestion control on the gateway. Specifically, we propose a multi-threshold hysteresis-based control mechanism to alleviate system overload by dropping some of the data send by the sensors. The considered system is modeled using the queuing system with multiple thresholds. The work studies time-dependent characteristics of the system: average time the system spends in overload and reduced load states. Our results demonstrate that using hysteresis control allows for the system to accept priority data traffic even under relatively high system load. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.