My 05 300C has the same problem. No play in anything when you have it on the lift. The racket it makes would make you think you should be able to grab the offending part and shake it around.

I've been told that's pretty common especially if the suspension is hanging when you check it. My tension strut bushing rubbers are checked/cracked at the frame like the one in the above picture but no more deflection than you would expect to see when you pry on a solid rubber bushing.

I've been told the sway bar bushings and links can cause it even tho they will seem to be solid. They are cheap and easy to change, so that will be the first parts I throw at it.

Kevin