Depending on the niche you can definitely tie into a blog/website by linking via the wall, also you can do some really cool stuff with dummy graphics that just link off to your websites as well. I have done that with great success, so maybe have a custom page with some sort of message then the button or call to action just leads off to a squeeze page or webpage of your choice. I would suggest to make them both look similar if you are going to do that.
share informative contents from your site, create fan page of your site and then make good amount of traffic. also post some video links of your sites. in this way i hope you will get a good amount of traffic from facebook.