I know I am a little late on the conversation and you said you already made up your mind, but after three pages, I feel I need to respond...lol.
I towed the trailer listed in my signature and it specd. out fine for my 2013 Rock Warrior Tundra. However, after putting it across our truck scales and seeing actual numbers and always driving with two hands firmly on the wheel, I upgraded to a 2014 2500HD Duramax and WOW!!! the difference was not comparable. I have since moved to a 3500HD Duramax because it was a sweet looking truck and with both of the Chevy's I can drive with ease and no stress. So, will it do it, yes and with plenty of power, but you can tell a huge difference.
To do a comparison you will understand, I started in a commercial truck with a 290 Cummins with a 13 speed. Last truck I ran had a 600 Cat with an 18 speed. Not quite that dramatic of a difference, but you get the point. Both got the job done, but one with much more ease.