The camp village is just at the start of Naran, but it is not recommended for families. Mostly trekkers and student groups who don't have budget for a hotel, use the camping tents. Bathroom facilities are not good, hygiene can be a problem. For a family, it is better to book a hotel room in a hotel that has a big lawn. You can ask their permission for setting up camp in the lawn if they allow.
If you are looking for adventure, you can just rent a camp for the night from Naran bazaar and set it up anywhere you wish.