Goa is one of the best places in India to travel as a woman, and/or alone.  You can wear a bathing suit on the beach or at your resort or hotel without any scrutiny, you can even wear skirts or dresses that relax the Indian standards of female dress a little bit.  There are tons of people, foreign and domestic who are friendly and just in Goa for a good time who will take you in as part of their group.  Goa is the place to buy cheap silver jewely on the beach (remember to negotiate) and have henna painted on your hands and feet.  As always use caution, dont get to drunk, do ANY drugs and avoid anyone who seems a bit dodgy.