This is a very relaxed trip with friends that are brand new to backpacking. Total mileage is about 22 miles. Although we will almost definitely be traveling faster than 1 mile per hour, I calculated it at 1 MPH to allow breaks at scenic areas, to sleep in, or to rock hop on the Little Carp River. Here goes:
Day 1:
Arrive at Big Carp River trailhead at 5 PM. Hike Southwest 4 miles, stopping at campsite #1. Eat a no cook dinner and go to bed.
Day 2:
Wake up at 8 AM. Make breakfast, break camp, and start hiking by 10 AM. Hike 7 miles West and then South to campsite number 2. Arrive at campsite at around 5, then make campfire, set up tarps, and make dinner before bedtime.
Day 3:
Similar to day 2, hiking 7 miles East and then Northeast to campsite #3. Make fire, set up tarps, and eat dinner.
Day 4:
Start hiking at 10 AM, and hike the remaining 4 miles North back to the Big Carp River trailhead.
Here's a map to show what I'm talking about:

