I don't have a newer Tahoe but as someone who frequents this forum and is aware of your guys' issue, I saw this article today.
http://www.kare11.com/news/are-gm-suvs-making-people-sick/350691813
Looks like it's starting to make traction.
I think he is saying the dealer should be competent enough to balance a tire.
Strangely enough though, it seems they aren't. Last time I had tire issues I brought it to the dealer to fix (had a slow leak) and they never repaired it. Just kept telling me there was no leaks by doing a dunk test. Brought it somewhere else to have the tire remounted and sealed, never leaked again.