In reply to Stone Muppet:
Some different itineraries we've done on "off days" when we weren't doing a *big* objective:
(1) Run up the tracks to the Montenvers station, possibly stopping at the Buvette for an ice cream and sometimes visiting the glacier. Possible do as a loop from MDG campsite going through the town, or possible as a there-and-back. Can also turn into a scrambling trip by including the Via Corsa, and lots of other variations.
(2) Cragging at Gaillands
(3) Spend a day up in the Aiguilles Rouges linking up multi-pitch routes (I've enjoyed La Someone, Crakoukass, and the Index)
(4) Go to the Aiguille D'argentiere and do some short pinnacle climbs
(5) Drive to a nearby multi-pitch venue like Cheserys or Vallorcine
(6) Do a shorter route near your main objective like the Petit Charmoz traverse
Some more suggestions here:
https://mtnath.com/alpinrunning-in-chamonix-valley/amp/