Perhaps solutions should be aimed at slowing down the churn rate on the "new" page, then? What if everybody were limited to submitting, say, one article per day?

How about a different "channel" for posts that ask for a feedback from the HN community on particular project? Like all those posts that announce a new site or a new open source library that some HN member has built. I think loss in such posts getting buried is much higher than the loss when other posts that say, just link to an interesting articles etc. get buried. Feedback from highly technical community like HN can be invaluable for an individual hacker but it's not always possible to get it. I personally experienced the importance of first 10 minutes rule when I submitted post about a small JS library that I had developed asking for feedback couple of days back. I probably submitted it at wrong time (holiday, late at night) so it never made to "visible" pages.

If we had a new channel exclusively for things you've actually built it would be difficult to game it as you would have to actually put in efforts to built the thing in the first place. It would also be more in line with the HN ethos, for hackers by hackers :)