Yep MI doesn't allow grass carps, I don't know about Tilapia. I haven't found a place that sells them in MI so I don't know how I would go about getting some.
My chara problem wasn't too bad last year and I treated it but the treatment was late so not as effective as I would have liked. I'm going to treat it again soon so hopefully there won't be any chara left. I thought a single vegetarian fish might be a little insurance and also for a pet
For real control I would love to try tilapia.
I only have minnows right now (stocked last summer) and I might not stock anything more until next year. Eventually I would like some yellow perch and RES, a few years later a few walleye. I'm in no rush to increase the biomass so fast.