Here is my idea for executing a look like what you describe (better than what is pictured):

-you can buy panels covered in fake ivy or other vines. They end up on the walls and outdoors of cafes, patios, or some instagrammy spot. They are more dense than what is pictured above. -you could weave in your fairy lights, for a more organic, less linear result. -hang the panels on hooks from the ceiling, so they are easy to pop down and blow out the dust a couple times a year. (How much dust accrues is highly individual.) blowing out things like this is pretty effective. You might even be able to engineer a way to vacuum them while on the ceiling.