In one embodiment, a method includes receiving an inbound data packet over a wireless link at a wireless intermediate network node. The inbound data packet indicates the packet was transmitted by a node at an edge of the mesh. The inbound data packet is associated with a low priority minimum wait interval and a low priority maximum wait interval for reducing contention on the wireless link. An outbound data packet based on the first data packet is transmitted over the wireless link after a wait time. The wait time is based on a high priority minimum wait interval and a high priority maximum wait interval for reducing contention. The low priority minimum wait interval is greater than the high priority minimum wait interval. These techniques allow long packet queues at the edge but quickly clear packets already forwarded by the mesh.