Can I run drainage pipe a short distance above the frost line
While I do not know the regulations in Michigan, drainage pipe does not need to be below the frost line in Ohio. 

The most common way to connect drainage lines is to send them to the street. This puts the pipe at curb level. At the street, the pipe is 2 to 3 inches below the ground. At the house, the pipe is maybe a foot underground. The frost line in northern Ohio is similar to Michigan. 

As long as the pipe sloap is enough to clear the pipe of standing water, you should be ok.