In reply to maybe_si: Friday: fly to Turin or Geneva, go to Courmayeur. Sat: walk to Borelli hut, carrying light bivi gear and food. Keep going past hut on to mountain. Climb as far as you can on Aig Noire S Ridge, maybe even going over the top if you're fast. (It's very long, with 1,200 m ascent and lots of gendarmes, but not sustained.) Sun: finish route, descend, beers.
Other suggestions:
Klein Wannenhorn S Pillar (remote, on good granite, 3,700m, above Fisch in Rhone Valley)
Another Day in Paradise on Badile (you're going to find the Cassin easy)
Gervasutti Pillar on Tacul - from first frique on Saturday with bivi. It's 4,000m at the top, but the main difficulties aren't much above 3,000m.