30 days of loss of use? Looks like a ripoff where the company tried to profile the customer as easy to go after.
Actually better not to pay the bill and not sign any credit slip describing it. Dispute it with your credit card company if the company puts it through anyway. Let the company make the move to come after you.
If your credit card company does cover loss of use, find out who is responsible for obtaining documents notably proof that the cars were sold out and the damaged car out of service really made a difference. It does no good if the credit card company expects you to submit that document and the rental company refuses to give it to you. Better is if the credit card company requests the document directly from the rental company and the credit card company summarily rules the dispute in the customer's favor if he rental card company does not submit it.