The only cases where this doesn’t work are banking and airlines, which are required to check your government ID. Trello isn’t, and you can give them a burner forwarding email and fake name so this kind of thing doesn’t affect you.
You’d be surprised how much business you can conduct without providing your name. (pro tip: the “name” field in the credit card form is not matched against the cardholder.)
Also, make sure your CC billing address is a post box, so you’re not giving your residential address to everyone you transact with (the address/zip is matched).