LOL, this is the eternal question...! My advice go to Chamonix, all types of routes and levels nearby + excellent apres-ski etc for all budgets - the real expert here seems to be Mr. Fralich - who will no doubt have ideas!
Mike in Czech certainly has a point too - lol - though perhaps impractical, on this ocasion !!
Alternatively, yeah Dolomites Ferratas et al + cheaper food and accommodation has its advantages...but I have yet to go there...At least it's Italy and has romance in the air - which I guess is half your mission....... !:o( DN.