Just a summary in particular order:
Taillights didn't work (recall)
Front-end squeak (currently fixing for the 3rd time)
Rattle in passenger door
Rear A/C fan went bad
Rear wiper arm went bad
Rear main seal leaked, causing transmission slip
New tires (old ones were weathered and Michelin paid 55% toward new)
Lighter socket wouldn't work
New front wiper motor.
Mostly minor problems, the squeak is very annoying since they've fixed it so many times.
Otherwise love the truck. Decent gas mileage especially for an SUV, awesome options come with the LTZ model, very good power, sharp looking, decent resale for an American car.
I took my suburban in many times because I had a rattle in the passenger door, I later found out that it was the seatbelt hitting the side every once in awhile.. just thought that might help... i fix it by just moving it on the seat or buckel it.
I have a Trailblazer that had a front-end squeak as well. After taking it to the dealer twice, I learned that it was simply the rubber "bumpers" under the hood that make the noise rubbing against the metal hood. I just apply grease that I bought from a parts store and it has been great ever since - I just reapply when the noise comes back (more often in cold weather)
This may be your problem. Good Luck!