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Well, you could always try buying a set of Michelin's at Costco and seeing if that makes a difference. I'm going to do that next month, although I'm not having problems with the bridgestones yet.
Then resell your new Bridgestone's for $500, and you're only out $400 for the aggravation.
What dealership is this you're working with?
Here is a follow up to my vibration saga. The dealer kept my truck for a week while I drove their new Cadillac CT6. During that time they did the Pico analysis. I spent about 90 minutes riding around with the mechanic while he worked his laptop with the accelerometer hooked up. His analysis indicated a slight tire issue but the ride was still unacceptable to me after another road force balance. So I stayed in the Caddy. He had to send the data to the GM tech center. They came back that all measurements were within acceptable limits and was performing as it should. I cried foul on that and the service manager went to bat for me with the GM rep and they agreed to replace the tires with Michelin Premier LTX tires. I picked it up this afternoon and it is much improved. The ride isn't as good as my 2009 Tahoe trade-in but I attribute much of that to the 22" wheels. I'm satisfied for now.