That's a tall order. The credit card company won't have the data. They'll just have the merchant, the timestamp, the amount, and whatever approval code they issued. They won't have the list of what you bought. All they will have is the establishment's SIC code, e.g., 5719 Miscellaneous Home Furnishings Store.
The store might or might not have data at the item level in their computer. If they do, then it would link back to the means of payment. If a credit card was used, there would be the time stamp, the card brand, and the approval code. The full card detail would have been wiped to comply with credit card security requirements, the data being no longer required to complete the transaction. To identify the buyer, an investigator would have to go back to the card company and get them to retrieve the transaction.
Also, if the transaction were relatively recent, the store might still have video, assuming they have a security system.
This is why I’d never sign up for programs like MyLowes.