In most places in the US, there is no charge for rescue. Nearly all rescue personnel are volunteers. US Military and National Guard helicopters count their services as useful training time, so don't charge either.

However, I noticed that in Wyoming's Wind Rivers the rescuee is responsible for the expense of helicopters. In that area, private firms are involved--no nearby military helicopters. My health insurance policy will pay if it's a medical evacuation--i.e. I have to be helicoptered to a hospital.

Some countries require you to have evacuation insurance, but it would be a good idea to find out if this insurance meets their specific requirements.