I have a number of these deodorizing stands placed around the house with deodorizer packs. They work especially well in the bathrooms and keep things fresh. They are designed so that air flows all around them. They should work with potpourri as well, though you might want to scale them larger. They print with no supports.
Should work with any packets but I use these ones from Amazon:
Prints in PLA. There are two versions. One with a top and one without. The one with the top is shown in the pictures.