I know you are only asking about your trans, but I will give you my recommendations for a total tow rig, and what I have done to mine so I have first hand real world experience.
Clutch, I recommend something around 3250 DD quiet, from either manufacturer, and do hydraulics at the same time.
Tuning, get rid of the EGR/DPF crap and get it tuned and woken up, you don't want a dog trying to pull a hill if you are in the 30k range.
Air, you are going to need more than stock, or want it at least once you pull a grade and watch your EGT's. I did a S366 over a S475 on mine, drive pressure is less than 1:1, which is great. (I also have a hammilton 188/220 cam in mine)
Studs, with that much cylinder pressure with tuning and more air you are going to need them, get them done before you have a blown gasket. The stock MLS gasket will hold fine, just stud it before it blows from the stock bolts stretching.
This is in my 06 with a 6.7 long block and 5.9 electronics, so it is a little different than your 08, but the same still holds true.
Jory is right, having 2 low for backing would be great, I fairly regularly put mine in 4 low to back up a trailer, no matter how good you are it will start jumping on you if not.