So if their problem is with credit cards can I pay them cash instead? Or mail a check? Enter a prepaid debit card? Do a wire transfer? Do they accept Venmo/Zelle/Cashapp/Paypal? Bitcoin? Nope, they want to charge the same fee for using literally any of these methods.
What they really want is to get your bank account number so they can charge you whatever they want and you have no way to dispute it.