I happen to have a site, that while it is not Wordpress, matches the criteria.
No backlinks to speak of. I have not even attempted to do any link building or exchanges. It is getting pretty much only Organic Google traffic. PR 0. 3 links listed in Google if you search for site:sitename.
It went up earlier this year but did not get any traffic to speak of until May so I did a screen shot of analytics from May 1 through now.
It has sent 25,431 hits to the sponsor and generated $85.00 since May 1. If I had gone with all free signups then it would have generated $131 but I have it doing 50/50 between free and revshare so it has done about $50 in Free signups and $35 in revshare. Beer money but even Beer money is money, ya know?
It is an experiment of sorts. I have no idea why Google has it ranked for the search terms it does but it is on first page for several pretty good terms.
It does not, imho, deserve the rankings or traffic that Google has given it but I am not going to look a gift horse in the mouth and I am changing nothing on it until Google stops showing love. ;p
.