The ones you can find on google are typically tourist traps run by one scam artist or the other. A long beard and saffron robes, and a talent for bs seems to be the only job qualification.

You might try this place - http://www.sringeri.net - an ancient (recorded history going back several centuries) monastery, whose abbott, the sringeri shankaracharya, is sort of in the position of the archbishop of canterbury for the church of england, for a lot of hindus in south india.

If nothing else, the route is beautiful and green - sringeri is on a hill, with several nearby coffee / spice plantation resorts in the chickmagalur / shimoga area of karnataka, that you can unwind in after you've satisfied whatever religious kick drives you to try an ashram.