Forum posting, submit rss feed to directories, the same techniques for promoting any website. Build backlinks through article marketing and web 2.0 properties. Post comments on other blogs and adding a backlink.
without without using the soical networking sites , you will need to work hard and harder to get accoplished it.
If you have a better knowledge about Blog so it is easy for you to promote your blog without any social Networking sites.
It is a very though works if you want to promote your blog and getting links to it. There are lot's of works involved. But if you can pay somebody to do those work for you, you'll have time to do other things. From what I see is just 2 things; either you have to pay someone to work for you or you invest in softwares that can help you with all the promotion stuff like SENuke or MagicSubmitter.