I don't know that saying negative things is whining. depending on what they are. I did just such a thing the other day, because the site truly sucked. It wasn't whining because I had no real interest in the site, it was just my opinion based on web design, security, and anti-competetiveness. Honestly, the only thing I was whining was that an old friend had forced me to use it.
But if you ask a blogger to blog about you, you can't coerce them, just say, 'thought you might be interested in url' and then hope they say good things. If they don't learn from the bad things they detail and fix them. Then make a comment about how you made the site better.