How many days do you have? Tour des Aiguilles Rouges is generally a four day hike. Here's the collection of links / notes I threw together when deciding which hike to do. The Tour du Mont Blanc and Haute Route would be longer options.
Also see this recent informational video (not that I care for Follow Bigfoot per se compared to other hiking vloggers, but the subject is relevant):
You're awesome, this makes my planning so much easier. Im definitely doing the Haute Route!
Thank you.