Hybrid Distributed Video Coding (Hybrid-DVC) is an emerging compression paradigm for resource-constrained embedded devices, like wireless video sensor nodes. This paper presents a low-overhead energy-aware Hybrid-DVC with an adaptive computation offloading scheme. Our scheme offloads the workload of multiple video encoding devices concurrently to a high-end decoder device to minimize the overall system energy under constraints of compute capabilities. It leverages video content knowledge to determine regions in the video frames that are offloaded to the remote decoder device. It jointly minimizes the transmission and communication energy and provides a high video quality. Our scheme provides up to 39% energy savings compared to state-of-the-art Hybrid-DVC schemes.