Not an original idea but I think it's a good one - so I stole it :o)
The plan is simple, goto the co-ordinates. You will find a couple of webcams, one pointing outside into the town square and the other inside. Get your face on either of the webcams and submit it here to score a find. Bonus points if we can see your GPSr :o)
Update - The inside cam is working again, so I have dropped the difficulty accordingly, it's almost too easy now.
The outside cam works but isn't reliable, I don't know when it works full time, with a bit of research (and a chat to the right people), you won't have much trouble logging your photo, but your best bet is the inside cam - too easy!
I gave it a terrain rating of 2.0 because parking can be hellish in the city and with the largish buildings around you'll have a difficult time getting a decent signal with your GPSr.
Added Bonus - visiting geocachers might like to wander off down the street to S41° 25.989' E147° 08.555' and check out the (Geo)Monkeys!!