I actually put some felt in several places after I removed the console...

I put some felt (a fairly thick piece) between the metal bracket that spacs across the opening in the headliner and the white plastic wiring connector immediately above it. This seemed to make that bracket more rigid by flexing it a bit (downward).

I also put some on the black standoffs that rest on the upper surface of the headliner when it is installed. These are the ones on the BACK of the console nearest the lights. I thought that the felt would cause the console to fit more tightly, since it was loose at this edge (free up/down play). It does seem tighter.

My rattle now seems more like a creak than a loose rattle. The loose rattle went away when I tightened up the sunglass case latch.

I might try to investigate the area around the points where the console clips into the holes in the metal mounting bracket next.