Another possibility:
Remember the guy that bought the AdWords targeted specifically to the hiring manager at Google?
That was a creative way to get noticed.
Maybe doing that + having the work to show for it (a landing page specifically for the manager! showing your work :) )
Hint: Writing a cool, insightful blog post, teardown or even nifty mashup (youtube instant?) that appeals to both the HN community as well as being hand crafted to subliminally read 'Please hire me, Google' would more than get you noticed.
The premise in the main post is very sound. If you want a product job at Google, put yourself in the shoes and start thinking product.