Grand Rapids is about an hour west of Lansing. Not sure what you like to photograph, but there is the Fredrick Meijer Gardens, a sculpture gardens on the east side of town. Downtown GR is photogenic, with a outdoors blues concert put on every Wednesday by a local radio station.
There are two covered bridges in Lowell, just east of Grand Rapids.
There are several lighthouses on Lake Michigan, as well as great beaches. The west side of the state has the sandy beaches.
The area around Traverse City is very photogenic, though touristy this time of year. Sleeping Bear Dunes is a great area for photography.
Further north, there is the Mackinac area, including Mackinac Island. The island is somewhat of a tourist trap, but it can be fun. No cars are allowed on the island, except for official vehicles. Horses and bikes abound. The Grand Hotel on the island is great, but there is a fee to get on the grounds if you are not staying there.
There is a Michigan tourist web site called www.michigan.org that has a list of events and some more info about the state.