NO, switch between shipping options to refresh the Order Total if you already see the Shipping Options and can select between them. (this faster and better than trying to Refresh The Shipping Total, but HOW MANY SHIPPING OPTIONS DO HAVE AVAILABLE to SWITCH BETWEEN?) Since you outside the USA, I don't know if you can switch between shipping options because I don't know if you have at least 2 to switch between)
Everytime you switch the shipping option, then switch it back to the one you want, the system attempts to reload and repopulate the order total.
When you get an error popup, switch the shipping option and back again.
If it Order Total takes forever then YES, also switch between the shipping options to cause the order total to recalculate.