Don't leave India without taking an overnight trip on a train. The rail network is expansive, and can get you just about anywhere in the country for a few bucks.
It seems like everyone we met was amazing, inviting, outgoing. We drank chai all night and played chess with the other passengers. At one point the conductor tried to kick us off for having the wrong tickets, but our new friends stuck up for us, and talked him in to letting us be.