Https://www.tripoto.com/trip/goa-backpacking-trip-itinerary . Check this out . There are many places in North Goa . Just make sure you are monsoon ready and don't expect much tourist as it is off season . Vagator region has a lot to explore . Moving forward to Morjim and arambol will offer some more options . Walk a further up north on Arambol beach to meet some hippies of Goa if that interests you . Some of them are as old as a part of 1960s hippies revolution movement . Cheers !