There is no official, marked, maintained and groomed trail around there.
As the correct maps show, trail 2 ends at Escanaba. There is a disconnected section of trail 2 around Gladstone (does not connect to other trails) and then there is trail 2 that ends east of Rapid River.
There are ways to connect roads, ditches, powerlines, etc through there. Many locals are familiar with how to do this. Guys I've spoken with that are not familiar with how to connect had a very difficult time doing so as there were no tracks for them to follow and much of it was probably trespassing.
The correct way to get through there is to use Trail 8 much to the north.