Pondicherry.... Chk out La Marina guest house to stay near White town, all major places to see are just a bicycle ride away, plus Promenade beach is walkable distance.
Mukteshwar.... Stay recommended @ way wood wind lodge, amazing places to visit famous waterfall (4getting name), hill top aka suicide point! (u can try ziplining & other activities here), few kms away is Naukuchtiyal (Nainital) where u xan try paragliding!
visited both alone & loved it!
Yelagiri is a not as famous as other tourist destinations in Tamil Nadu, but it is definitely breathtaking and has many places to visit. If you are looking for something unusual, then this is the right place for you!
It has all the best features of a good hill station like viewpoints, lakes, and parks. The main attractions here are, Yelagiri Adventure camp, Jalagamparai Falls, Puganur Lake, Swami Malai Hills and Nature Park.The climate is pleasant throughout the year. It is a apt place for trekkers and hikers who want to unwind themselves.
For accommodations-https://www.ulohotels.com/yelagiri-hotels-and-resorts
You can choose a camping and trekking group. It will boost up your confidence and would be really fun. Then you can travel to places like Rishikesh and Ooty.