blech I don't see livestream of Brisbane anywhere. tennistv.com has it starting next Friday but not for USA. Other sites like livescorehunter is showing hopman cup and Auckland.
Obviously there's no TV production at all until friday, hence no streams either. The tournament has an official youtube channel with some highlights and press conferences but that's all I can find. TennisTV has quarters, semi, final(so there is when the streams start). ATP website says Tennis Channel(USA) carries play Saturday and Sunday so there's your answer why USA is blacked out for you. Masters is another deal, because almost all countries have those events, TennisTV can't black out that many, it would just be a waste.