What’s the most a 07 Trailblazer 5.3 AWD can tow/stop safely

You need new friends.

Cops don't care about tow capacity. They will only pull you over if you are committing a moving violation such as speeding, swerving, running red lights, creating an obvious road hazard, etc.. They can't pull you over because you "look too heavy" and the manual has NO bearing on the law.