Hi Keerthana,
I would like to know where you are based at to get a better idea of all the places you could plan the trip around.
If however you're from Delhi, you could plan a stay at the the Neemrana Fort, only 3 hours away from Delhi.
https://www.booking.com/hotel/in/neemrana-fort-palace.en-gb.html?aid=817014
The trip has to be in which month?? coz monsoon has pretty less options. You can plan a trip to mussoorie dehradoon, kerela, Punjab (amritsar, bagha border, golden temple) all this place can be managed in little budget and yet the places are beautiful.