You can effectively promote your blog with facebook through following Tips :
1. What you already do :
Post your blog on your personal wall and on your Facebook brand page.
2. What you should also do :
If you have a friend that would be interested in the blog but is notorious for not looking anywhere but his own page, post it directly to his wall. If your blog mentions any other brands, tag them when you post to your personal wall or brand page.
3. Take it a step further :
‘Like’ Facebook pages that are either mentioned in your blog or would be interested in it. Take some time to research: Do they let users post links on their wall or do they delete them? If they allow it, post your blog on the brand’s wall. If they don’t, go into the discussion board and either add to a current discussion or start a new topic. Leave a well-constructed comment and a link to your blog.