I just picked up a 2011 Sierra Denali as well (March 5th). Had a little over 69K on it when I got it. I came from a Yukon with the 5.3 and I was really surprised by how much more power the 6.2 has. I'm pushing 75K now and I love the truck but, it's not been a perfect love story.
After less than a month of owning it, I started noticing a ticking noise so I took it in to have it checked out before my power train warranty ran out (August of this year for me, should be sometime this year for you too). Long story short they replaced the lifters, rings and pistons. They also replaced the oil cooler lines and an o2 sensor but, I don't think those were related to the noise even though they were still warrantied.
I've also had some door handle issues but, I wont side track the thread with those. Anyway...here's the only clean pic of the truck I've got (black is soo hard to keep clean). It was raining when I picked up and was nasty by the time I got back home so the first place I stopped was the car wash and this was taken directly after.