In reply to Sabilly1:
As PEC has said, check up to date conditions and talk to your course providers. Here are four good sources of information for the Chamonix area:
https://www.chamoniarde.com/en/mountain-topics/mountain-conditions#AFcqsEti...
https://www.chamoniarde.com/en/mountain-topics/route-reports
Visit the Guides office in the centre of Chamonix, near the church. Lots of great info., they are very helpful and speak good English if your French is not great
Talk to the guardians in any huts you visit.
I can see from your log book that you rock climb, have you done any winter stuff? Not knowing your abilities, knowledge and skills here are some options you may find useful.
1 A day practicing crampon skills on the Mer de Glace ( dry glacier ). You can also set up top / bottom ropes on slopes of different angles ( if you know how ). Really nail those crampon skills going up, down, sideways, along narrow crests. You may find the Bruce Goodlad book useful to see what to practice.
2 You can bivvy in the Aiguilles Rouges dusk to dawn in luxury ( if you use uplifts ). From there you can access all sorts of routes. Bolted rock climbs, though some are sparingly bolted, plus largely trad routes. For an alpine feel consider the Crochues Traverse or the Perrons. It is possible to link several different climbs together to get a feel for a longer alpine day. Depending on when you go / conditions there are often some good snow patches to practice snow anchors if you need to.
3 Depending on how much climbing you have done, some people find doing some of the valley sport routes useful ( usually on rest or dodgy weather days ) to get slick with general movement skills / ropework / abseiling etc. They can get busy so an early start can be useful.
4 Walking up to the Orny Hut and staying there for a couple of days is a great option. Lots of shortish rock routes easily accessible, often a quieter corner too.
5 Walking up to the Albert Premier Hut for a couple of nights gives access to all sorts of routes; there is usually something in condition here. Easy access to wet glacier to hone skills before you set off on routes. The Aiguille de Tour, Tete Blanche and Petite Fourche are popular.
6 Take the lift up to the Torino Hut to stay for a few nights. Lots of shorter easy access routes around but make sure you check conditions first. Peaks such as Toule, Entreves, Flambeau plus many other options too.
Finally, I would also recommend being prepared to visit other areas too. Go where the conditions / weather are best. From Chamonix other areas are easily accessible such as Sass Fee, Sass Grund, Zermatt and many others. Have fun!