Q: I want to change my apple Id's country and region without adding credit card

You are currently in the US ? You cannot use the US store unless you are in the US, being in a country is part of the store's term.

If you are, from changing country : Why can’t I select None when I edit my Apple ID payment information? - Apple Support

When you change the country or region of an existing Apple ID, you must provide a payment method and update your billing options. If you want to remove your payment method after you change the country or region, you can change your payment information to None.

Do you have a debit card, issued by a US bank and registered to the same name and address as you need to put on your account, that you could try ? If you also don't have a debit card you could try contacting US iTunes Support and see if there is anything that they can do : https://support.apple.com/contact