It seems that Bariloche is near to some rather amazing sport climbing areas (1), (2), (3)... Ok, some of them look a little advanced for me and for some of them the season doesn't start until November but there may be something to do earlier and otherwise there's always the option of pushing back the return flight and extending the trip...
I know we have a couple of other climbers going and the shoes and harness wont take up much space so it seems rude not to...