Lars' suggestion is viable. For example, you can use AP and set up each credit card as an individual bank. If actual vendors might be paid using more than one type of credit card, you wouldn't want to have the 'Include bank with control account set' option turned on in the Company Profile. All credit card transactions would use the appropriate credit card bank.
Those vendors that you don't want to have set up, can be paid using Cash Invoices in Manual Check batches. You don't have to use a Vendor code and you can enter the particular miscellaneous vendor name with the transaction.
You can use AP Check Reconciliation or BankRec bank reconciliation to reconcile the amounts of the actual payments made for each credit card statement and could print the report to use as your audit trail. If BankRec is in use, you can use the Transfer function to transfer the amount being paid from the regular bank to pay the credit card bank.
It may be best to work through the exact set up details with your Adagio consultant though. There may be other considerations for your particular site and they would be most familiar with them.
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Regards,
Softrak Tech Support