In the general area (couple hundred mile / day trip) https://prschallenge.com/
Which covers matches in Michigan, Wisconsin and Indiana and has the Great Lakes PRS match events.
Regionally and Nationally, the sanctioning folks are https://www.precisionrifleseries.com/profiles/clubs/CE. Pick a match, register, shoot, rinse, repeat. You don't need to be a member of PRS to shoot matches unless you want scores, ranking, etc. Or unless you want to support the organization. Membership is cheap.
In the PRS stuff I bounce around between NE, SE, and Midwest regions depending on travel, schedule, matches, how far I want to drive, etc.
Another layer in the foodchain is the NRL series. https://nationalrifleleague.org/
Getting really popular right now is the NRL 22 Rimfire stuff. Talking off like wildfire. Lots and lots of fun.
For you (based on your location in your OP) you are a short drive to one of the best facilities in the state. Check out MTC just north of Lake City. http://www.marksmanshiptrainingcenter.com/
They host most all of the Michigan PRS stuff.
All of the above is pretty popular as well on facebook if you speak social media as well.
Oh, and, welcome to the forum!