See if you have any facebook crypto communities and try to set up hand to hand deal. But always do the deal in a public place, have a friend with you and don't hand over the money before you see crypto on your wallet. It depends where you are from but in my country, I have done these types of deals with many many people and usually it always goes smooth.
A question though- if you want to buy with card then why is KYC a problem? I'd understand if you have cash that you cant put in the system so H2H deal is necessary. Or if you have acquired the money via BH means onto an account that's not tied to your identity, you can always just find a person whose identity you can use for KYC. Just need to pay them a little.