Actually it depends on your interest, solo trip can be anywhere where you feel good it doesn't need to be just mountains or just beaches.
If you are starting with karnataka then try some places less crowded i would suggest Hampi but now it's a UNESCO World Heritage site so it's getting crowded day by day.
If you like mountains try Kodaikanal...chikamanglur
if beaches then go to some silent beach where you can enjoy sunset like Mangalore
An amazing place to chill and hangout with different kind of people.
Delicious South indian karnataki food.
Beaches and outstanding views.
A short road trip to vibhooti falls and Yana caves.
Spiritual visit to Murudeshwar temple.
And last but not the least the Trippy local bhang called a Magic lassi at Sea rock cafe on Om Beach
I would suggest you to Start from Gokarna,they Marudeshwar to Mangalore Bus trip(must be memorable one,take stop at Thrasi,Udupi,Surthkal for beach view)
crystal iceland in Mangalore then move to Mysore then Bangalore and Hampi.
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