Like with most half ton trucks, you will likely run out of cargo cap before tow cap.
Trailer if weighing 7000 lbs will be right around 1000 lb tongue weight, your truck should have a capacity of about 1700. Add 100lbs for the hitch and then look at what you have left to work with.
allow for family and gear in the bed, and determine if you are comfortable with your planned load.
Towing cap I believe is around 9200 lbs, yoour indicated trailer should be easily withing that range. Topping out in the 7600 lb range.
You didnt say whether you had a trailer towing package, or a HD package on the truck, those will affect your numbers some too.
Ensure you get a brake controller, because with that engine you can tow it, but you still have to ensure you can stop it. Look at adding a tranny cooler if you dont have the factory tow package.
Overall, I think your ok to go with that, You likely will need to be mindful of what you load, but it's all workable.
Happy motorin
