How to create AppleID of another country without having a credit card or bank account of that country, but with a country Internet connection? What is up-to-date and tried method to create AppleID of another country without having a credit card or bank account of that country?

I am on a short visit in another country (Estonia in my case), so having a genuine-local internet connection is a completed step :-)
Disconnect if you are logged in with an Apple ID, go to AppStore, try to get an app, select the “create a new account” option and you will be able to create an Apple ID without a card. You can add the card (I think but it is almost sure) after you come back in your country.