If you're going to build a small lifestyle business that has relatively moderate growth trajectory, you need to do it without raising money that expects a big growth rate. If all you need is say 15-20K, just borrow it on a personal basis from a microlending club like LendingClub.
If you're not willing to take that kind of risk? Don't expect anyone else to, either.
The Huffington Post, Business Insider, GigaOM, The Bleacher Report and many more have.
You have almost 0 chance of raising money until you have a serious sized audience though, unless you have a rockstar background like being Editor in Chief at Engadget. There really is no excuse not to be able to organically grow a blog.
With blogging do you not find that you have to have the determination and dedication to wanting to get your words out there (and thus you find time to write one blog post a day) or maybe you shouldn't be doing a blog - perhaps reach out to the startup foundry or the next web as a contributor?
As for Paul at The Foundry, we're chatting on the phone tomorrow. I hope he'd consider contributing :)
I'm not sure if any of the other major ones did too -- TechCrunch, Engadget, The Next Web, Venture Beat, etc.