Why are you worried about unauthorized use of your credit card number? Under US law, you are liable for $0 of the charges. If you lost your physical card or had it stolen, you're liable for up to $50 of charges made before you reported it as such.
Legally and financially, if a malicious website uses my card number poorly, the consequences for me are "I notice an issue and Chase mails me a new credit card".
Debit card numbers, sure, that's a whole other ball game. But a credit card number? IDGAF if it gets stolen. It's not my problem, and I like it that way.