It's no real climbing but doing Ferrate could be a good idea. One of the best documented places (in terms of Ferrate) is
<a href="http://www.summitpost.org/show/mountain_link.pl/mountain_id/747"><b>Dolomiti di Brenta</b></a>.
Also interesting in terms of Ferrate are:
<a href="http://www.summitpost.org/mountains/mountain_link.pl?mountain_id=3036"><b>Pale di San Martino</b></a>
<a href="http://www.summitpost.org/mountains/mountain_link.pl?mountain_id=3076"><b>Sexten / Sesto Dolomites</b></a>
And if your girlfriend prefers to do some shopping - you'll have lots of really difficult climbing routes to coose from