In reply to Oscar Dodd:
If you've not already climbed Mont Blanc and fancy avoiding the masses and not seeing a soul, embark upon the Tournette Spur. It gets little more than a few of ascents a year, but takes you through some desolate terrain, on a multiday journey, stopping at the historic, picturesque and newly refurbished Bivacco Quintino Sella, though has to be done early season (June).
It used to be the defacto route up Mont Blanc until the 50's, starting from the valley in Val Veny, however the advent of cable cars up the Midi and Torino meant people could now miss out half the mountain and still tick the summit!
Be warned it's a serious tick at AD+, as it's around 1,200m of mostly unprotectable front-pointing up endless snowfields and couloirs. It's not difficult, just remote and requires considerable endurance.
The Bivacco Quintino Sella has the names of endless famous mountaineers of old engraved across the walls, now protected by transparent sheets of perspex.
Note, the reason for going early season, is the short 'Y' shaped couloir from the Gonella Refuge up to the Quintino Sella melts away and becomes a couloir of choss!
You'll enjoy the solitude, until you hit the Bosses Ridge towards the summit and encounter the masses. We took the Pope Route back down.