In reply to LanceSolf:
Thirty five years ago, a mate and I left the car in a Chamonix back street, flogged up the hillside to Montenvers, walked up the Mer du Glace in a thunderstorm to the Requin hut and the following morning, climbed the south east face of the Col Superior du Plan and then along to the Aiguille du Midi. So yes, it can be done.
Or rather, it could. Snow conditions now are not necessarily what they once were. The angles will be as they were though and I recall being glad I had two ice tools when the face steepened; it's nowhere extreme, but having two tools was a comfort*.
The main problem we had was lower down, at the bergschrund. We were there in late August and there was only one snowbridge left across it, and it didn't inspire confidence. We took some brave pills washed down with caution and got across ok, and had we not wanted to chance it I daresay we'd have been able to get through at the edge of the glacier, but there's a reason the memory of the episode has stayed with me. In your position, I'd be seeking a bit of beta about that.
Otherwise, back in the day, it was perfectly fine. Of course this doesn't mean it will be the same way for you and you must exercise your own judgement rather than relying on an anecdote from a 60-year old about what he once did on his holidays.
T.
* No sniggering at the back please.