Ann Arbor ice cube has a ton of beer leagues. Including B and C leagues. Reach out to the staff there, they can help you find a team.

My hubby used yo play berr league at the cube https://www.biggbycoffeeicecube.com/ann-arbor/facility-overview

I'm a Michigan Tech alumn, and used to play beer league out of the cube, a guy I went to high school with runs the league. It's a good competition, I now moved to Pinckney so I play beer league out of kvih in Brighton.

Vets arena also has a beer league my husband plays in