I don't know the laws in the Alanson area, I'm south of Charlevoix, but I generally know whats goin on up here.
I'll warn you with generality, and say that in some form, metal detecting is most likely a violation of a law somehow. Be site specific, and inquire or read what you can at the time.
Keep in mind that you will be in an area of State land, county/township property, nature preserves, and land conservencies. An area swarming with self-important yuppies, righteous tree hugging do-gooders, and generally ignorant city chimps.
On the other hand, it's also an area of Barney Fife law enforcement, so you'll probably only be shooed away by the local cop that's just doing his job with a "no harm-no foul" type attitude.
All of these places usually have rules that COULD make detecting unlawful if you aren't aware of how it applies, and what feathers get ruffled to draw attention to you.
The township and county land is usually mainyained by the local park systems. Diffing on a beach will most likely go unoticed, but cut a plug in the grass and it's "destruction of park property"
State owned land is somewhat different. It's also not LAW that sets the rules, it's "policy by order of the director of the MiDNR" Individual state parks can carry their own rules and may designate specific places where detecting is allowed, and in some cases isn't allowed at all. This policy also calls out a maximum probe size you're allowed to recover a target with, a Leche or a beach scoop would actually be unlawful.
Also consider that most bodies of water up here can have some protection over them. Designated trout streams, natural rivers, tributary considerations, and DEQ water watchdogs.......and plenty of ignorant people to report you. In fact I was reported a few years back because some fool thought i was digging too close to the lake.....in MY front yard.
So generally you would probably get away with it..... but generally it's probably against a rule somehow. Do your best to know the rules under your feet, be kind to the land, and polite to an officer.
None of this stops me from detecting most places, but I stay educated, and pick my spots defensively. I don't do anything morally despicable, though i know at times i'm in violation.