If budget is a concern, try checking the South India tour packages offered by Travelogy India. They have options from 34 days short trips to 1012 day long cultural tours. You can even get customized itineraries according to your budget. For me, their Kerala + Tamil Nadu combo package gave the best value for money.
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Explore top parks like Ranthambore, Jim Corbett, Kanha, and Kaziranga with expert guides.
https://www.travelogyindia.com/wildlife-tours/