Hi, I'm the same with CCs. I'm an old school Internet user (like BBS and Vax systems) and value my privacy and safety. My token purchases are always with Visa gift cards. CB support mentioned that 'CC gift cards' can be Hit or Miss. What I do is always enter my real name (first/last) for billing (as suggested by CB support staff), and then the Visa gift card info. I also make sure to buy my Visa gift cards from a large retailer, as I've come to discover that these are the cards more often represented by a large financial institution. These have always worked for me; in fact, I am the reason the $99 option was added to CB. I once told them that with a $100 gift card they miss out on the last 20 dollars when their only option was $79.99. That was one of the very first suggestions I made that changed CB forever.
Give it a try and let us know if it they work for you to!
Cheers,
Cexmental