What I'm getting from your post, is that you would like to know how to purchase the Android Tablet application.
In this case, I would recommend to use the following link which is working without a problem.
I would also like the ability to get the APK for the Slingplayer for Android app outside of the Google market. I have a Kindle Fire so it isn't accessible to me. People who have other Android devices have reported that version 1.2 works fine, sideloaded from their phones. But I have an iPhone (and the Slingplayer for iPhone) so that solution isn't available to me. I'd be willing to pay again, if it will be supported.