In reply to slow&steady:
Having said what I did and read your profile I would point out that although this route is possible it is also the most crowded in the world (probably), very hard to get a place in the Gouter hut and a long slog from the Tête Rousse - we just went up to the Aiguille du Gouter as we had given up on trying the Bionnassay as I was too unfit - and it was a real circus. So it being doable, if you are fit and acclimatized, doesn't mean it is necessarily the best option.
There are often threads asking the same question which usually demonstrate how few alpine routes are safe to solo due to the glacier crossings - finding a partner is clearly the best option. I often find myself in the same situation as you, but 10 years older, and have the same reticence concerning finding a younger partner on internet and then being "blown off"! Living in Cyprus can't help either from the climbing club point of view, but I reckon finding a partner is the best line to pursue, soloing in the Alps is limited unless you are at a very high level, and even then the glacier's are always dodgy.