I believe the 2019 Outback can tow 2700# with a tongue
weight limit of 200#. The latter is the limiting factor, since travel trailers require 10-12% tongue
weight for stable (sway-free) towing. So, you need a trailer with a fully loaded weight of 2000# or less. In the world of small molded
fiberglass trailers that means a 13'er.
Bath or no-bath is the question. With more than two people, you'll want the no-bath, front bunk version. Since you may have little ones, know that
Scamp does provide a convenient storage compartment under the front bunks for a small porta-potty for nighttime emergencies.
With reasonable attention packing you can keep the loaded weight of a
Scamp 13 or similar in the 1500-1700# range. That includes a
fridge and A/C, which you'll probably want in Louisiana and thereabouts, but not a full bath and shower.
Scamp is the budget brand, but
Happier Camper,
Relic, and
Armadillo also make 13'ers with the ability to sleep three. If you shop used, there are also many out-of-production 13'ers that fit the bill at a range of prices. A careful inspection is essential with a used unit (by yourself or a local RV shop).
The A-liner folding trailers are nice, too, but for convenient set-up and take-down (especially in the rain and wind), snugness in bad weather, and resale value, my own opinion is that egg trailers can't be beat!
Best wishes in your "egg hunt"!