I think you mean a loaded (gross) weight
of 1500 pounds or less. "Dry weight" is before options, gear, provisions... totally empty. No one travels like that.
See the thread "Trailer Weights in the Real World" in the General Chat section for some actual loaded weights of various makes and models. (Note that the 880 pound Burro
was an empty shell.). Post #297 links to a spreadsheet of the data you can sort and filter.
A few 13' egg-type trailers might fit the bill if they're pretty basic and packed lightly.
You'll need brakes
on the trailer (not all small trailers have them) with 7-pin wiring and (probably) an auxiliary transmission cooler on the vehicle.
Alternatively, Toyota now makes an "Adventure" version of the RAV4 that is beefed up for towing up to 3500#. That would open up a few more options.