Looking at Ford's towing specs on line, I think you are pushing the limits of the 2.0L turbo.
Keep in mind that as you shop, all weight specs are "dry weight." This means, no water, no waste, no lp, and none of your crap. Oh, and empty waste tank as well.
I did find several in the 14' to 20' range that were 2,000# or under. But, there are two other items I would look for: Single axles pull easier than tandems, and aerodynamics matter. These two items alone can make more difference than what you pack into the camper (added weight).