Here is some more information on the fungus amongus that might be useful in controling mites...please note, while this information is useful, it has not be tested on any bees that I know of. This is only a search off the internet.
M. anisopliae, an imperfect, entomopathogenic fungus is a widely distributed soil-inhabiting fungus, is called 'green muscardine fungus' due to the green color of the sporulating colonies. The fungus can infest the larvae, pupae and adults of several insect pests, such as Brontispa spp. and kill them. It may be an important controlling agent in dense populations during wet spells. It is also used to control the sugar beet curculio, {{Cleonus punctiventris}E}. The fungus has controlled many other insect pests in experimental trials, including the spittle bug, {{Mahanarva posticata}E}, leafhoppers, (Cercopidae), and the coconut palm rhinoceros beetle, Oryctes rhinoceros. It has also been investigated for the control of the pasture cockchafer, Aphodius tasmaniae, the beetle pasture pest, {{Adoryphous couloni}E}, the termite, {{Nasutiterenes exitiosus}E}, the sugar cane beetle, Antitrogus parvulus, the pecan weevil, Curculio caryae, the black vine weevil, Otiorhynchus sulcatus, cockroaches, Japanese beetle, black vine weevil, and mosquitoes.
Sprayable formulations have been used to control meadow spittlebug on sugar cane and coffee leafminer and the froghopper, {{Tomaspis saccharina}E}, in Trinidad and Grenada. M. anisopliae is highly pathogenic to many species of ticks, and is being considered as a microbial control agent for the management of ticks and {{Lyme disease}E}. However, this fungus may also infect and kill beneficial organisms. In laboratory assays, the thrips predator {{Orius insidiosis}E} showed a high rate of susceptibility to M. anisopliae.