Some do, no idea why you would insist on leaving a paper trail though.  Seems like a needless risk to me.  Besides, who wants to give out their card?  What if the amount is disputed?  That would be a funny looking letter to dispute the amount when they ask you for transaction details.

If you need a cc, you maybe shouldn't be hobbying.

The answer to your question is yes, many do.  P10 Escorts do.  Also, search CV of BP using the words "credit card" and you a bunch will appear.

Good luck.