Can anybody help...

Rough idea on the latest time in the year when you can rock up in the Alps and reasonably expect to be able to go out running without encountering snow/winter conditions?

I'm not suggesting scaling Mont Blanc or the Matterhorn, but some reasonably high-level days out running...

Would October/November be generally ok?

Also if anybody has any ideas regarding the best location for a first-timer to the Alps... preferably plenty of running in a spectacular location, and some decent ridges... I have already had a bit of a look into Alps Haven, but would consider any area...

Cheers