Check for motorcycle popups or motorcycle campers. If a motorcycle can pull it the fit shouldn't have any issues, then again my Bike has more HP than my fit
Motorcycle Trailers- compact camper- pop up tent
Lite Tent Camper - Pull this lightweight tent camper/trailer behind a motorcycle or car.
Pop Up Campers Trailer
Some of them the tongue weight is less than a bike rack. Plus, many have racks on the top that will carry another cartop carrier or bike racks, so all the big/awkward stuff is behind the profile of the car instead of creating drag on the roof, and fuel mileage doesn't change more than having a 200lb passenger in the car. Mini-Pop-up tent trailer is the way to go. The car wouldn't even know it was there. You could even put gas cans on the trailer and make it dammed near from canada to mexico without having to go to a gas station.