No need. You can use services like privacy.com, whose generated cards will accept any address. Just pick a random valid one that you aren't connected to. Picking the address of a public park or library in another city can appease address verification checks.

Those don’t have a fake address. You still have to put the right name and billing to pass verification.

A prepaid Visa/MC/Amex gift card might work, but those are easily blockable. I’d expect Adobe to do so.

I mean, that’s one way of getting users to pirate your software and hate you at the same time.

No, but you can type in any fake address in your zipcode. (Or – if your card is from outside US – you can type in a completely random address and generally it will work.)

Payment don't really check if address matches, they don't even check if account name matches with credit card name.