Tammy,
Memgrove is right. Work the web to find camping places in MI. There are a bunch. It doesn't matter where you are in the state, you can probably walk to one. I am half way between Detroit and Ann Arbor and I could walk to three. And that is not counting the private ones.
Start with
Campground maps, pick Michigan (if you want to) and keep zooming toward where you want to be.
I don't know what level of "camper" you are considering, but there are lots of them out there. Many are not expensive used, but if you buy used please get it inspected by someone that really knows what can be wrong. Any of them can be water damaged and that may be VERY expensive to repair.
If you are doing the "Out Friday evening and home late Sunday" routine, be ready to be stuck in traffic that is about 50% RV (the other half left the RV at the campsite).
Good Luck
Matt