You can set up the Credit Card as a virtual bank, from which you pay the vendors. The GL account for the "bank" would be an asset account. When you set up the Credit Card company as a Vendor, use that same account as their default expense account.

When you receive the CC statement, record a cash invoice type manual check from that bank for each Vendor, recording the invoice and the payment with one transaction.
Debit expense, Credit Payables
Debit Payables, Credit Virtual Bank

Create one check from the real bank to pay the Credit Card company.
Debit Virtual Bank, Credit Cash