For about the same amount of $$ (or even less) that you may spend for the hookups to flat tow your car - if it even can be flat-towed, you might want to look into getting a car trailer.
We tow our VW Tiguan on a flatbed car trailer. There are many benefits to towing on/in a trailer, including the ability to backup - which you can't do when flat towing or with a dolly. A day of travel …and backing up! | Our RV Journey
Plus our car trailer is still light enough to be pulled by our Tiguan for trips to the dump, the home improvement store, helping out other friends, etc.
We have a 32' National RV gasser that tows our car trailer with relative ease. Between the trailer and the VW we're under the 5,000 lb towing capacity of the RV, and for the most part, fuel mileage is the same when we're towing or not.
Here's a few photos of what we look like when towing