Drone Logistic Network} (or simply, DLN) is an emerging topic in the sector of transportation networks with applications in goods delivery, postal shipping, healthcare networks etc. It is a rather complex system which have different types of drones and ground facilities and it also requires a robust design of the network to ensure optimal time for delivery, efficiency, resilience, risk and cost efficiency along with different other optimizations of `Key Performance Indicators'. Moreover, in sectors like healthcare networks, we need to be extra cautious whilst modeling the network as the consequence of failure is severe. Besides these, we also need to work with real-time telemetry data which can be very noisy at times. To deal with the above mentioned technicalities, we propose a robust surrogate modeling strategy through propagation of interval information from the observed data. We are interested in using this surrogate model to simulate contingency scenarios or simply to construct a \ac{dt}. For this particular contribution, we are specifically interested in estimating the drone flight time in uncertain conditions. With our proposed method, we obtain interval estimates for our quantities of interest, which can be interpreted as the set of possible values in between the optimistic and pessimistic bounds.