Max tow package comes with a 3.73.1 axle standard. The truck won't burn the mountains down but she'll do it fine and won't get hurt.
Your transmission service intervals are 100K miles for normal driving and 60K miles for severe duty. If your pulling that trailer a couple times per year, I'd recommend flushing more often than 60K miles.
The comment about 10 ply tires was spot on in my opinion.
Good luck and enjoy your rig(s)!
Tim