Remember that the CC already is a Liability Type. Mixing that with AP is a typical accounting error; you just hid one liability in different liability.
You make the credit card charge entries Individually, because each date you bought something with that card, you already Paid for it. There is no Bill. You took a micro-loan from the card provider, so the individual spending to all those names will show the debt balance on the credit card Type of account increasing.
Then, you got a Statement, not a Bill. You use it to reconcile the card account. At the end of the reconciliation, do not let QB enter a bill for you. That is not Helpful; it's Wrong. You either make the check entry now, or later, that reflects the Payment amount and date against the CC account as the "expense" entry detail.
"The OP appears to be paying an AP bill with a credit card. That seems a correct thing to do"
Let me try this again.
If you Bought on a credit card, there is no also a Bill. If you enter a bill and later find out that supplier allows you to give them a credit card number, which you do later, then of course you have a Bill Payment as Credit Card Charge. Sam's Club doesn't not allow you unpaid purchases; Sam's Club does not provide inhouse Charge accounts. When you shop at Sam's Club, you pay at Sam's Club. You pay with Check, Cash or a credit card at the time of the purchase. Sam's Club is not a AP activity where you Pay Later.
That tells me something is being used incorrectly.