The small rustic village of Tirumakudalu Narasipur is obscure by just about any standard, but that doesn’t deter it from making some rather grandiose claims about itself, including (just like Nanjangud) that it is “Dakshina Kashi” or the Varanasi of the South. You can read more about this subject here.
In addition to the Agasthyeshwara Temple, Tirumakudalu Narasipur is also home to a number of other sights including a sacred 2,000 year old fig tree and the Gunja Narasimhaswamy Temple. You can find more information on these attractions here.
With the benefit of hindsight, I wish I’d spent more time poking around the village. I’d certainly recommend that you squeeze in some time to stop off there if you happen to be traveling between Talakad and Somanathapur.