In my first post in this thread I noted: "So that leaves a max trailer weight of 14,386 without exceeding the GCWR of your tow vehicle."
So figure on a trailer GVWR of around 14,000 pounds. That's a hitch weight of about 2,500 pounds.
If your wet and loaded trailer grossed 14,000 pounds, that would leave 9,000 pounds for the max weight of your wet and loaded tow vehicle before you bumped into the GCWR of the tow vehicle. That should be do-able.
If your hitch weight were 2,500 pounds, that would also leave 9,000 pounds for wet and loaded tow vehicle weight before you exceeded the GVWR of the tow vehicle. So it sounds like you should find a trailer with a GVWR of not more than about 14,000 pounds.
All the Forest River Cardinals are too heavy, but if you like the Forest River brands, then check out the Clear Creek 34SATS. GVWR less than of 14,000, which is right up there just below your max trailer weight. And the floorplan is similar to the bigger, heavier Cardinal you like, except three slides instead of 4.
Cedar Creek 34SATS
There are two other Cedar Creek models that begin with "34" that have GVWR of about 14,000 pounds, so check out those too.
You probably wouldn't be overloaded with the 34SATS or one of the other 34s (that are actually almost 37' long), but that trailer wouldn't leave you much wiggle room. If you prefer wiggle room, then scale down to a trailer with a GVWR around 12,000 to 13,000 pounds. Then your main concern would be not overloading the trailer with too much "stuff".