Thanks everyone for the help. My hiking partner wants the option to keep the miles low (~8) and stay in cabins as much as possible. Below is my tenative route based on this:
Day 1 – Overlooked Falls to Mirror Lake. Setup camp and day hike to Government Peak
Day 2 – Correction Line Trail to Big Carp River Trail to Lake of the Clouds. Setup camp and day hike the Escarpment Trail.
Day 3 – Lake Superior trail to Big Carp River Trail to Shining Cloud falls. Camp.
*Have the option of pulling up short if needed since there are so many campsites in the area.
Day 4 – Shining Cloud Falls to Big Carp River/correction intersection, then back track to the Big Carp River Mouth and finish up at the little carp river mouth. Setup camp and day hike south on the Lake Superior Trail.
Day 5 – Hike out to Overlooked Falls and go home.