Unfortunately, without gap insurance or comprehensive insurance, you would be responsible for your loan balance. Even if your car is not recovered, you’d still be required to make payments on your loan or it could go to collections.
While not ideal, you could potentially roll your loan balance into a new car loan. However, this will likely cause you to be upside down on your loan for a few years, depending on how much you currently owe. If you do decide to do this, be sure to have gap insurance.