I solder the ground wire from the ext pw supply directly to the chassis via a big solder lug. Then everthing ground, electrical, audio, shields, go to that lug.
You need a big bertha iron to do this, but it guarentees a solid ground that will not erode with time.
Sand the chassis, get a big puddle of solder going, drop the lug down with needle nose, let it set up, then put the iron on top of the lug to hold it whilde you add the finishing tiuches of solderon top, get it looking good, then grab it with the pliers again, try not to move for 30 seconds, and your set for life.
I know you don't want to hassle an iron right now, so save that thought for later.