GM just shows a 6390 rawr with 17" wheels or 6600 rawr with 18" for their 2500 trucks.
I would say his 7078 rawr number is a typo.
If its the 6390 rawr 17" wheels your gonna' have a maxed out rear suspension with a 14000 gvwr trailer once its loaded and road ready.
The question was "would you do it" ?
The 6.6 will be marginal for that much weight ....so no, for my use I wouldn't do it.
From what Ive read the 6.6 gas pulling those kinds of loads isn't getting anywhere near the mpg as the 6.6 Dmax pulling the same load and especially mpg's running empty.
Just my 2c.