The vibration and shake problem sounds the same as what I experience in my 2015 Yukon with the 5.3 v-8.
I have addressed the issue with dealers from FL to my home state of MI. The service manager at a Chev dealer in FL described my exact problem before I had a chance to describe ti to him. This has been confirmed by service managers and write up personnel at several dealers.
The bottom line is it is related to changes in exhaust tome caused by AFM AFM and has been in existence in some GM car lines since the 2007 model year and is covered in Service Bulletin 06-06-05-001F. It is very noticeable at lower speeds when in 4 cylinder mode. and mostly disappears in 8 cylinder mode.
I personally have a problem with the fact that this has not been remedied since the 2007 model and with the ending sentence of the paragraph titled "Changes in Exhaust Tone'"that states "THIS IS A NORMAL CONDITION FOR AFM EQUIPPED VEHICLES AND NO REPAIRS SHOULD BE ATTEMPTED."
I have driven and ridden in other Yukons equipped the same as mine and there is no such vibration.
I forgot to mention that my conversation with several representatives at GM Customer Service were to no avail other than being told my complaint was noted, assigned a complaint number and placed in a "case closed" file. How's that for customer service!!