This might be a good rime to address the tongue weight issue. You will have about 12 to 15 percent of the weight on the tongue which would put it at less than 500 pounds if it is properly loaded. That puts you in a spot that does not require a weight distribution hitch but does require a hitch that can handle the weight. That you do not need a w/d hitch allows you to look at unibody cars that can handle the tongue weight and tow 4k. You will also need a seven way electrical socket as your rig requires brakes. Remember that even cars have cargo carrying capacity. Look on the door pillar of any car you are considering for the info on that specific vehicle.
If the sticker says it can carry 1200 pounds, subtract 500 for the tongue weight and then subtract anything you will put in the car to travel. If you come up with a number that is negative then you need more car. When I was new and getting a first trailer the best choice was a small truck. You might want to rethink your search.