South India during this time is not recommended. The climate is too hot. I live in Kerala and believe me you can't even go outside during day time. If you still want to go, then you can visit hill stations at this point of time. Munnar in Kerala or Kodaikanal in Tamil nadu will be a better option.
You can visit a number of hillstations in South India during this time of the year.
Ooty in Tamil Nadu
Kodaikanal in Tamil Nadu
Munnar in Kerala
Nandi hills in Karnataka
Yercaud in Tamil Nadu You can visit other places like Pondicherry, Kochi, etc but the heat and humidity would be quite high in those places.
Best place in South India for solo tourist is Mysore (in and around)
In Mysore Chamundi Hills Mysore Palace Zoo Sand museum Rail museum Jaganmohan Palace KRS dam and Brundavan garden Venugopalaswamy temple (backwaters of krs)
Mysore is the best place to plan for it has many connecting facilities like rail,and bus form Banglore.
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