I pre-paid a purchase order with a credit card.  The part is now here and was received on the po.
How do I pay the invoice in DBA with the credit card?  It doesn't work with COD as it takes the $$ Out of the checking acct.

Another option, we set up a payment terms item as "credit card" in the terms table.
We set up the credit card company as a vendor in A.P.
When purchasing creates a credit card purchase order, they select the credit card company vendor code as the customer, then over-ride the text name with the actual vendor name and address.  This allows accounting to associate the packing slip and invoice against the actual vendor name, and allows the credit card purchase to be booked against the credit card company in AP-C with the vendor code.
 
This has been working for us for quite a few years.

The only downside to this approach is that you do not ever have an actual AP or PO history against the vendor who provided the goods so if you want to find out where you bought it, you need to go into the actual PO to see the vendor name.  More importantly, if it is a potential 1099 vendor, you do not have any payment history.

I just had this issue pop up. I have an A/R Other account that I use as a pass thru.  I receive the po as normal and enter the payable AP-C under the vendor number but I put the full cost of the po.  I then enter a voucher under AP-A as a credit memo for the dollar amount to be charged, in the reference field I put credit card payment, and then allocate it to the A/R Other GL account.  When you run the aging you for the vendor you will set both and it will net out.  When you print checks pick both.  Then enter the credit card bill as a voucher making sure debit the A/R Other GL account for the correct amount. Works like a charm.