Mines at the dealer now for what i would call the exact same noise, drives me insane as well and even with an aftermarket exhaust i can still hear it and makes the truck sound like a piece of crap with a manifold leak.
2016 2.5" Rough County Level front and rear
20" X 9" HELO 879 -12 Offset ( I would have went with the +18 Offset to eliminate or negate the need to trim)
305/55R20 Firestone Destination M/Ts (33.2" Tall) 12" wide
Had to do some hammer and grinder work with the large fender mod but it fits, still rubs a little in a reverse turn but I haven't had time to fix it yet.
Mileage went from 18-20 down to like 15-18
4 Hard pumps on my 18" ratchet, should be good for 120 ish pounds, gotta reevaluate the mental torque wrench every year as i get stronger.
of course it took years to figure it out, with my father "helping" of course when I overtorqued bolts in the shop
I can sort of hear what your talking about in the video, my 16 5.3 makes a similar sound with the conditions you described, mine sounds like there are some metal chunks rolling through the exhaust or inside of a tin can. I usually get this as well in a high gear low RPM condition on flat surfaces while accelerating.