I don't like probing by hand much of anything AC powered, especially if I don't know the circuits. Do you have alligator clips, or a soldering iron ? With the power off I'd find solid places to attach clips, or solder on wires, and clip onto them.
If you're not sure about using a DMM, I'd say read up on some safety stuff too. Modern TV's can still have some pretty high voltages in them, even after turned off for a while.