The best replacement for karnataka is tamil nadu.

The best alternatives to karnataka are rated as following:
★★★★★  tamil nadu
★★★★★  maharashtra
★★★★  punjab
★★★★  kerala
★★★  rest of india
★★  baroda
★  uttar pradesh
★  madhya pradesh
★  up
★  andhra pradesh
★  saurashtra
  railways
  punjab ranji trophy
  tamilnadu
  himachal pradesh
  gujarat

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Speaking about karnataka, one probably shouldn't forget about districts map.

Other search terms related to karnataka and their ratings are:
★★★★★ districts map
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Google Trends

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karnataka
tamil nadu
maharashtra