It is obviously simple.  The last to own it pays for towing, impound costs, disposal costs, and subsidy fee.
Government should give subsides of say $500 a car to yards(to be covered by last owner). However, the last owner can dispose of their waste car at a charge of $500 at a disposal site or they will eventually not get a tax return, or a reduced one that has deducted the costs of their irresponsible actions.
If they do dispose of it and pay the disposal fee of $500, the State subsidizes the site an additional $250.  If the site can't make money on $750 a car then we are in a bigger problem than this article says.
There can be NO escape from responsibility!
Just wait until these hybrids, and full electric cars need new batteries. Guarantee they will be hazardous waste  abandoned all over the islands.