1. A method for managing secure communication between a plurality of node computers over a network, wherein execution of logic by a network computing platform performs actions, comprising: when a node computer associated with one or more overlay networks for a mesh network sends a communication to one or more other node computers also associated with the one or more overlay networks, employing a gateway computer associated with the node computer to perform further actions, comprising: determining one or more target gateway computers that are associated with the one or more other node computers based on a selected overlay network and a topology of the mesh network, wherein one or more physical paths are determined for securely communicating between the gateway computer and the one or more target gateway computers based on the topology, and wherein the determining of the one or more physical paths, based on the mesh network's topology, includes a modification to the one or more physical paths to include a route to one or more traffic management computers; identifying one or more network segments of the mesh network that are available for priority communication separate from the one or more physical paths; and sending the communication to the one or more target gateway computers over the one or more physical paths, wherein the one or more target gateway computers securely provide the communication to the one or more other node computers.