Would any other kind of culinary matcha be okay to be used if it's not readily available where I'm from?

You can order the matcha online from Ippodo.

If you choose not to do this, be careful which matcha you do use. Not all culinary matchas are high quality. Some are bland, some are very bitter. Just as the rule goes for cooking with wine; don't cook or bake with a matcha you would not drink and enjoy as a stand alone beverage.