What kind of mites are they? Fur mites? Ear mites?
If you treat with Revolution, there will be some effect on the environment via the shedding of dander. I wouldn’t worry too much about hay or willow-based products… which I’m assuming these items are? If they are washable, then go for it. Otherwise, they shouldn’t really serve as a source for reinfection. Especially if you follow through with the treatment (i.e. multiple applications to get through the mite’s reproductive cycle). Beds and blankets should be washed. The carpets can be treated with diatomaceous earth and then vacuumed. It’s non-toxic, but bunny should not be in the room during treatment since inhaling the powder can cause lung irritation.
I’m not familiar with that product, but it looks like it contains essential oils. There is a lot of controversy around essential oils because some have been shown to be harmful to cats, rabbits, and other critters.