Ok 7000 max towing, load appears to be about 1500 lbs
At a glance you should be able to handle quite a few trailers up to about 23-25 foot range. Ignore empty weights, loaded weights should stay within the above stated limit, on a 6000 lb trailer 900 of that weight (15%) should be on the trailer tongue, which is within the cargo cap of your truck if you don't carry much else.
I'll again suggest you look at the rentals. If you have not towed much, try a short trip with something like the little Jayco I mentioned before. Loaded weight should end up being about 3500 lbs, the trailer is a 7' wide model so it should tow pretty easy. If you like it and are comfortable, they have a 24' Spree which is 8' wide, has a slideout, and weighs in around 5000 loaded which is likely as much as you would want to tow with that truck.