Good time to visit Jaipur. rich history and lots to.exolore. and very good hotels, of you just want to relax in luxury. Though if you are interested you could go.and visit prayagraj, the Kumbh. though the Kumbh is over, but the tent cities are extended. you won't get the rush, but can see the magnitude of the event. the peace of Ganges. or can even do Varanasi.
There are many places one can visit in a 3 day trip. Dudhwa National Park- it takes around 3–4 hours from the city to reach there. It also has a bird sanctuary nearby. The place offers many picturesque scenes to witness. Ramnagar- It is a small town in the Nainital District of Uttarakhand India. It is located approximately 65 kilometres (40 mi) from Nainital the headquarters of the district.Ramnagar is the gateway to the Corbett National Park the oldest national park and a famous tourist destination of India. Garjiya devi temple and Sitabani temple located nearby also attracts many visitors. Haridwar and Rishikesh- Owing to the spiritual values these places also offer many experiences that are worth your time. One can do river rafting in Rishikesh. Haridwar has many serene ghats (hari ki paudi, shiv ki paudi, etc.). It also has Patanjali that is worth a visit. Banaras- Being one of the most famous tourist destinations in India, Banaras has got an essence of its own. The city is known for numerous temples, ghats and architecture. One must not miss the evening Aarti (it is best to see it while sitting in a boat in Ganga River). And yes the ‘paan’. ;) Agra- Who needs a reason to witness one of those wonders in the world. (Sitting near Taj Mahal during sunset is perfect to indulge in a deep talk btw ;) ) Ayodhya, Faizabad- The place where lord Rama was born. It has numerous temples and Dharmshalas (a must visit for a spiritual person)
It depends where you are staying right now or where you are from. Like if you are from Delhi, going to Manali, Shimla, Kullu, Almora, Nainital is easier. Of staying in Mumbai you can visit the hill stations like matheran or mahableshwar, you can visit daman and Silvassa or you can also go to goa. If you are im the south like bangalore or hyderabad, you could think of going to Coorg, Ooty, manglore, etc. and if you stay in Kolkata you could visit jalpaiguri, sikkim, the north east, it's pretty beautiful and unexplored too. if travelling alone i would recommend you to stay in hostels to socialize and make new friends and all.