I guess what you consider chucking to be, I consider it to be fore-aft forces generated by the trailer and transmitted to the truck. A test for this would be to put your head on the head rest while traveling on rough roads and see if it bounces off. When your trailer pushes the pin down it also pushes forward resulting in chucking. Your Trail-Air pin box will dissipate the bouncing (up and down forces) but not the chucking forces due to its rear pivot point design. It could also be said that your pin box exacerbates chucking because the design pushes the pin forward when it compresses.
Usually, trailers that long don't chuck much due to their smaller hitch angle. I doubt moving the head assembly forward will help as the pin box is still securely attached to the frame of the truck via the hitch.
If you translate hitch noise and clunking as chucking then I still doubt adjusting your hitch will help.
I've had severe chucking issues when the brakes were never in play. I can see how a poorly dialed in brake controller will cause problems similar to chucking.
There was a member a couple of months back with similar gear and similar problems. He bought a Trailer Saver hitch and was very happy.
I'm back: That thread was titled 5er Hitch and was dated 8/21. It was in this forum.