It will tow it ok on the flats but will not like head winds or long grades.
I have a trailer with the same specs a yours, single axle TT, 20 foot long with higher tongue weight. I started towing it with a 2000 GMC Sierra 1500 with the vortec 4.8 and a 4 speed auto. The vortec had very similar HP and TQ numbers as your truck. It did have the 3.73 axle so that helped. With the 8 speed tranny, the 3.21 should not be an issue.
My biggest issues were when towing up long grades, the truck would sit in 2nd gear and rev like hell to get to the top. I just got in behind the semis and took my time. If you had long grades and strong head winds, it was a dog.
After one particular long trip in the mountains of Utah, I came home and traded the GMC in for a 2009 Ram with the hemi, 5 speed auto and 3.21 - problem solved. I now own a 2017 with the hemi and 8 speed. I haven't towed with it though.
The WDH is a must, without it, the Ram will squat too much and make the steering light and drifty