My parents live on 10 acres in Michigan and mosquitos can be such a nuisance in the summer that my dad recently bought a backpack sprayer and started spraying some of the wetter areas of the property himself. It really does work and it's almost luxurious to be outside my family house during the summertime without getting eaten up. I was a little worried when he first start doing it about insecticide being sprayed in areas my kids might play in, but did some research and learned that the chemical only really posed health risks if the exposure level is really high (so I think it's ok??). My dad's friends have even started having him over to their houses to spray their properties too. Quality of life really is so much better without mosquitoes around, lol.
I never thought about this being a permitting issue, but now that you mention this update from Washington State, I'm thinking that spraying for mosquitoes is almost certainly regulated in Michigan as well. What I'm not clear on, though, is if there'd be any requirements for spraying on private property - away from state waters - as is the case for my parents. It's also possible this is something that local authorities would regulate....Whatever the case, I'm thinking my parents should probably look into permitting requirements for their area (not to mention consequences of violations, lol).