You can go to Gokarna. Other than that you can explore South Goa. South Goa is quite underrated because the majority goes to North Goa. You must go to Cola beach. It is one of the silent beaches of Goa and a very beautiful beach.
I would love to recommend you 2 places which is near & in Goa ! 1. Visit Dudhsagar Water falls
2. Visit Cola Beach Cola beach is extremely peaceful place without any crowd ! You can spend good time during evening and night !