In reply to mrplastique:
Rather than suggest a peak, I suggest you choose a base.
Settle yourself into a valley with lots of options and a valley that has lots of info in guidebooks you can read.
That way you can choose your objective each day according to weather, conditions and how you are getting on.
I recommend the Saas Tal. It has a good selection of accommodation options, and has a wide range of walks and climbs and via ferratta at a wide range of altitudes. A fair few lifts to get you high for little effort. Good public transport links within the valley and connecting to other valleys. So no matter how you are getting on with altitude and no matter what the weather, there is always stuff you can enjoy doing on the hill.