what's the best climb in Chamonix if I only get to do 1-2?

My wife is injured so we'll be hiking / etc. most of our trip; I was planning to do 1, maybe 2 days of climbing with someone local or with a guide.

I can get up about 7a, maybe harder for pure sport climbing, 6a-a+ or so on granite (cracks, slab on gear)... open to A0 or aid a short section. With regard to style, really exposed, sporty, well protected climbing is my favorite, any grade. I really liked Delagokante on Vajolet tower in the Dolomites, or e.g. smth like this picture: mountainproject.com/assets/…; OTOH not big on chimneys, offwidth, and stuff like that. 

Oh and can I get one with glacier and one without? :) Not a big fan of glacier travel if I can avoid it, but I understand the classics might all require some. 

So far I'm considering routes like Arête Rouge on Aiguillette de la Floria, La Fin De Babylone, and La Barbourine but I wonder if some of the more alpine stuff is worth it if I'm going to go with a guide...

I hear great things about this: https://www.camptocamp.org/routes/54576/en/pointe-lachenal-contamine-route

Dave Cramer wrote:

I hear great things about this: https://www.camptocamp.org/routes/54576/en/pointe-lachenal-contamine-route

I'll confirm that is a very good route. It is also listed here on mp. 

+1 on that. If you could choose only one, that's a great choice. 

https://www.mountainproject.com/route/107664177/voie-rebuffat-baquet or any of the hard classics directly off the midi are also a great choice

Seconding the recommendation for routes on the Aiguille du midi.  You get the full Chamonix experience -- descending from the lift to the glacier, good climbing with awesome views, and the classic rappel onto the viewing platform descent.

Absolutely pass on barbourine it’s not even remotely in the same league as anything on the Brévent or around the midi. The rebuffat baquet with the 5 star variation finish in the 6c+ corner is all time good in an amazing setting!