There are a few different ways that you can promote your blog anonymously. You could create a blog banner that links to your website or blog, and post it on other websites or blogs. You could also create a blogroll on your website, and list all of the other blogs that you follow. You could also create a guest book on your website, and invite people to leave their comments there.
You could also create an RSS feed for your blog, and add it to your website or blog reader. Finally, you could create a Twitter account for your blog, and post about the latest posts there.