There is great spiritually significant importance surrounding the circle to indigenous cultures too. The dream catcher ought to be smudged. If you are unable to find anything like sage, sweet grass, or even pine, an incense stick will do. It is after all about the intent more than if you are doing it right. I also have a pouch of tobacco for offering thanks and a blessing for such things too. (incidentally the word 'native' now is considered quite a slur).