Used to be that cars were large enough and heavy enough to easily handle the Caravel
. In fact, I believe AS advertised as such. But, with smaller and lighter modern cars, it just does not seem like good choice. For the Caravel, SUV's are perfectly adequate, even the smaller ones, but a car just does not look right towing anything large than PWC's.
I think Hyundai does not recommend towing with the Sonata at all and others list most models at 2000lbs or less. I believe the '66 Caravel weighs in around 2500lb dry. Not enough car.
Clarification: I am no expert, just my opinion...I would NOT do it.