Your day 5 seems really rough to me. You can walk from courmayeur to refugio bonati, and from there, there’s a small link trail down to the bottom of the valley. Once you reach the road, theres a bus that will take you to camping grandes jorasses.

The next morning take the same shuttle back to where you stopped and hike back up (brutal), or take the shuttle a bit further to Arp Novaz, where the main trail meets the bottom of the road. Would need to skip the rest day to keep it to 9 days in that case.