the data given is accurate. Dharwad station has much better connectivity to dandeli than Alnavar, the nearest stop. The sanctuary is around 10 kms away from main town dandeli, on the route to karwar (the entrance to the sanctuary is close to town called as Joida).
Also as an additional tip, if you know someone from the paper mill (called as west coast paper mill) you can actually visit it and see how paper gets manufactured