In a cooperative broadcast scenario, a group of nodes in a network aims to reconstruct a common message. We present a consensus-based linear estimation algorithm that shows improved convergence speed compared to state of the art techniques and whose signaling effort can be reduced without performance loss under certain conditions. We investigate its performance in the presence of erroneous inter-node links using different models for these error influences. Additionally, we propose a technique to mitigate the error influences and restore satisfactory overall system performance. All results are corroborated by computer simulations considering different system parameters and network setups.