In reply to chenav:
i'm not going to do all the weather forecast checking for you. But if you head to saas grund you could do the jegihorn (sport, mountaineering or VR, take your pick) and stay at the weissmies hut. you can also do the fletschorn from there which i believe is AD and under 4000m.
alternatively you could stay at the ayas hut and consider the bretihorn or pollux which aren't too high.
slightly further afield (and therefore maybe more chance of good weather), the Ecrins has some mountaineering and higher altitude hiking you could do, although there's no uplift, so maybe not so good if you are looking for lower effort objectives in order to save energy for later
