One thing i did come across when i was fixing my truck was a shop called TCS transmissions .
One guy that worked there had a 2016 sierra 1500 same as mine and had the "shake" .
He said there were a couple parts in the transmission (6l80e) that were garbage and that they caused the vibration .
He reportedly replaced said parts rebuilt his trans and put in some upgraded parts and there was 0 shake after .
Mine was slightly the same way before i did the driveshaft and i think it has to do with rear end and trans temps that being said i have not had the issue since swapping the driveshaft .
From all the reading i have done i have not seen anyone re-balance there driveshaft and have it fix the vibration the issue is the driveshaft is made of paper thin aluminium and its full of cardboard . Because the driveshaft is so thin it resonates vibrations badly.
Had one made from a company called Pats drive-line I am in Canada so a lot of the american options are to pricey for me . 680$ Canadian i paid . 6" round aluminium one piece unit .
This is how mine was when i was fighting to figure out what was causing the vibration . Balanced the wheels got a little better changed the axles got even better then was 100% gone with new driveshaft .
What i really mean by all of this is that i think a lot of people say they have a vibration issue because they can see the console move on the highway .. If you had the same truck but with a flow through centre console
would you even notice the vibrations ? i know before i had my truck fixed the floor and seats didn't really vibrate more than a normal truck but the lid for the fold down seat always shook like crazy .
Yes the big console with no jump seat . I rode in a friends 2016 with the flow through console and it felt a little rough on the highway but not bad and zero centre console shake .
I think someone posted a 2017 driveshaft on here and it did look different than the 2016 down models .
That being said i dont think i have seen anyone with a flow through centre console have this issue which i find very interesting ..
Just a little update on the truck because i have had a few guys message me and ask . Truck has been very smooth still since changing the driveshaft to a new aluminium one piece and swapping in the Yukon axles .
Had my tires road force balanced last week because i lost some wheel weight off-roading and what a difference that has made truck feels smoother now then the day i bought it .
Hope this helps others .