Hi. Plan for two days. Reach talguppa by train by 7am.Take a bus/auto/cab to Jog. Less water, but isolated place with greenery all around, so can enjoy that.
Take a bus to honnavar by 930-10, from Jog directly/Mavinagundi(more buses). Jog to Mavinagundi- 100-150 by auto,15 mins.
From...
more... Honnavar , go up to Gokarna. Enjoy the serenity. Enjoy the beaches/temple/seafood. Stay overnight in one of the many resorts. Leave by 2 or 3 pm next day, to Murdeshwar. Visit the beach/temple. Watch sunset n catch Panchganga express till Hassan. Murdeshwar temple is only 2km from railway station. So easier than doing it from Gokarna.
From Hassan , you can take arasikere express or a bus. There'll be plenty of buses.