I wondered if those who travel further afield have knowledge and experience of Global Rescue organisation for individuals and families? https://www.globalrescue.com/personal/travelservices.html
They offer field rescue, medical evacuation, a mobile app, etc. Not an insurance company, but they provide the rescue services useful for mountaineering and exploring that insurance companies charge for very dearly. Would membership satisfy the Eagle Ski Club's requirement for rescue and medical insurance?
I came across a recommendation to join them on the Kyrgyzstan Alpine Club website. For a summer trip, but annual membership seems useful for winter expeditions.