A random routing scheme is proposed for mobile ad-hoc networks of non-real-time services. When packet transmission takes place, the intermediate relay nodes between the source node and the destination node are not known a priori. Through network control signaling, the relay nodes are determined by estimating the physical layer parameters, specifically the link quality between the source and the possible relay, the relative angular position and relative speed of the source and relay nodes with respect to the destination node. The relative speed of the nodes is estimated through Doppler measurement or through its equivalent via knowledge of consecutive node positions. The routing scheme limits the number of hops and takes advantage of the network mobility, thus limiting energy consumption and network interference. Simulation results show the asymptotic network properties such as the average number of hops, the end-to-end average delay, and the long-term throughput.