Bike the TMB (Tour du Mont Blanc by Mountain Bik)
IF you don’t have 2 weeks to walk around the mountain, then bike it. You need a GOOD bike that can be rented in the city, I even would suggest an electric mountain bike, because that is really cool. If you know how to ride a bike, it will take you 3 to 4 days. Check out this video:
Besides the TMB, the valley has a lot of day trips on MTB and a lot of downhill MT as well. Here are the official trails: https://www.chamonix.com/mountain-bike-trails,242,en.html
Picture: My friend Søren taking a break before we go full speed!
There are two downhill areas. One in Les Houche and one in Le Tour