It is impossible for a bank to apply for a credit card without checking the credit information, so there is no other solution to this problem. Because credit cards are like loans, no matter how many times you do it, you have to check your credit for new business. These are the rules and procedures. In fact, it won't have much consequences for banks to check personal credit information. If the credit information is good, it will help to approve the credit card. If the credit is not good, you can think of other ways to remedy it.
If the credit is not good, you can choose to preserve your personal credit or choose a credit card that is easy to apply for. A more effective way is to provide better proof of your financial situation, such as assets in your name, including real estate, cars, companies and so on. Or provide a good bank flow, such as tens of thousands or hundreds of thousands of monthly income. In short, prove to the bank that your income is good and you have enough repayment ability.
No matter whether you apply for a card or a card, you should protect your credit record and don't operate illegally.