i would say go to this site & make sure that Your Ram meets the description
your Ram weighs about 3,600 pounds
camper you say weighs3,000 pounds
trailer weighs close to 7,000 pounds
that is about 13,600
then you have to add people, pets, beer, ice, camp chairs, etc.
read all the print on the site below
use this site to see if you will be ok