Promoting Facebook page in Google can be pain in the arch since there could be thousands of similar pages. On other note Google has been showing Facebook page results more than in past. Connect blog to your YouTube and Facebook pages. Keep blog update regularly. Open Google+ page and connect it to the blog.
However, since you are on Facebook make sure that you do everything to improve search on Facebook itself. They are moving towards search engine format so my first guess would be to do Facebook SEO.