Within walking distance on the beach to the south is the smaller town of Maracaipe. If you want to get away from the noise it is a quiet place. Further south the "Recanto do Cavalo Marinho", is a protected area for seahorse breeding. A local "jangada" can take you as well.
Beaches further south are also beautiful, but harder to access. Praia dos Carneiros, Toquinho, Serrambi are some of the options.