Good write up BaseCamp!
I also think the Tundra is very capable and has done well for us. We stepped up from towing from a Honda Odyssey minivan to our new '06 DC TRD. Wow what a difference. We are still towing the same camper (for now) that we towed with our minivan a '16 3000 lb TT (Fun Finder T160).
The first time towing I was so excited that I could maintain 70 mph and have all that power that I only got 9.2 mpg!

On the way home I slowed it down to ~65 mph and didn't "power up" the hills (kept the gas petal at about the same location). Doing this I was able to keep it locked in 5th gear with the torque converter locked-up about 90% of the time. This rewarded me with ~13 mpg.
During Thanksgiving I'll be towing a classic car to my BIL's house, so I'll get to stretch the Tundra's legs again.