G-Man, At The Hunting Report we used to recommend Med Jet Assist. They were good people, but we switched to Global Rescue when they came along simply because they had "built a better mouse trap." They offer what our founding publisher Don Causey calls boots on the ground rescue capability. That means Global Rescue has the ability to come get you no matter where you are. If you fall off a mountain and break your pelvis, or fall out of a machan and break your back, like Don did in Cameroon, Global Rescue will come get you in the bush if necessary. Other evac services require you to get to a landing strip, sometimes they require you to get yourself to a major airport. Global can arrange helicopter transport, medically equipped jets, commercial aircraft with an EMT to accompany you, as well as ground ambulance.
Global Rescue also provides top-notch medical assistance during rescue and transport and they have a relationship with Johns Hopkins for medical consultations. Their rescue teams include real-deal Navy SEALS types trained to get things done efficiently and in clockwork fashion. They will evacuate you to the home hospital of your choice. Some services will only get you to the nearest appropriate hospital - and they define “appropriate.”
One of my subscribers recently had to rely on Global Rescue during a hunt in Ethiopia. He developed pulmonary edema while hunting mountain nyala and credits Global Rescue for saving his life, even though they didn't have to get him off the mountain themselves.
Honestly, Don and I wouldn't recommend them if we didn't believe in them. Personally, I won't travel anywhere without them.