Hybrid Peer-To-Peer streaming systems combine the advantages of an efficient push-based with a more resilient pull-based system to deliver video streams over the Internet. In this manner, hybrid systems offer low latency and an increased robustness to failures and node churn. However, current hybrid systems is vulnerable to misbehaving nodes and deliberate attacks. By taking central positions in the overlay, malicious nodes can perform extremely harmful Denial-of-Service (DoS) attacks. We propose RBCS, a novel backbone construction scheme, that is highly resilient against DoS attacks while maintaining fast content dissemination. RBCS incorporates stable peers into a manipulation-resistant multi-Tree backbone overlay, which is resilient against both attacks and node churn. Additionally, RBCS securely identifies stable peers by using only local knowledge about the participation time of others. Extensive simulations indicate that RBCS outperforms the state-of-The-Art in being more resilient against attacks at the price of a slightly increased overhead.