Yes, my solution is through the courts. It's imperfect, but it also protects us from the insanely arbitrary and potentially dangerous solution of appointing an unelected person to dole out money to "the deserving".
You and scooby want immediate gratification at the expense of the balance of power between the three branches of our government. You are essentially saying you want the executive branch to carry out a mission that was meant for the judiciary. By extension, if a state disaster occurs, we'll have governors compelling companies to establish funds and then they'll appoint unelected people to pay out the money there, too.
Don't either of you see the possible abuse here? Politicians appointing unelected and unaccountable people to handle vast sums of money demanded from companies that screw up to compensate alleged victims... hmmm, no, no possibility of something going wrong there.