Kalamazoo Rod & Gun Club
7533 N. Sprinkle Road
Kalamazoo, MI
They accept applications for new members around February 01, every year. People who forget to renew lose their membership and those slots, along with people who moved or are deceased become available to new members via a lottery drawing.
Once you are a member you remain a member until you let your dues slip. At that point you have to enter the next year's drawing just like everyone else.
They have a website and newsletter online. You can probably download a membership application that way as well. November 07 of this year their range is open to the general public for deer rifle sight-in. Anyone can enter, pay a small fee and confirm zeroes. That would be a good day to inspect the facility if you are interested.
There is also another range just west of Kalamazoo with more basic accommodations. Southern Michigan Gun Club.
Slightly North of Kalamazoo is the facility in Dorr, MI.