If you used a TA, they own the reservation and handle the payments. You would need to make payment through them in whatever form of payment that they accept. Since each agency has different rules, there's no definitive answer.
If you booked directly with Disney, they will accept a check for payment on your package. I'm not sure of the exact process as it has been a very long time since I booked a package and even then, I paid with a credit card.
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