If your 2005 was a 2wd, what axle ratio did it have? I am assuming 3.42 at best and possibly a 3.23?
If you are looking used, I think the first question is do you want AWD or do you want to be able to select 2wd/4wd/4lo?
If you don't mind the AWD, look for the 6.2L. But if you want to be able to select between 2wd and 4wd, then I think you have to go with the 5.3L. It's possible that some of the newer(the past two years?) Denali's with the 6.2L have the selectable transfer case, but I am 99% sure that the 2007-2012 all have AWD.
If you are sticking with a 1500, look for a 2009/10 or newer to get the 6 speed transmission. Also look for one with the heavy duty tow package to make sure that you get the 3.42 axle.
When we shopped last fall I exclusively looked for a Suburban/YukonXL equipped with the 6 speed and 3.42 axle. I would have considered an SUV with the 6.2L, but I decided I wanted the two speed transfer case and stuck with the 5.3L.
Kevin and my...
Wife and six kids
2017 Suburban (5.3L/6A/3.08)
6x12 Enclosed Utility
Sold...2011 Express 3500 (6.0L/6A/3.42)
Sold...2010 Passport Ultra Lite 2910