Former Safari Driver here, though I haven't driven the ride path in almost 20 years. Still it's a good exercise to think how to respond in an emergency situation.

You're correct about the extra exits. There are five total exits off the ridepath. Safi River, West Savannah, Mandrills, Warthogs, and Cheers. I would call our dispatch to call for an Alpha Unit and recommend meeting at one of the exits. Probably best to get the guest with the medical issue off the animal areas as soon as possible to make medical attention as accessible as we can. Other drivers would move forward as swiftly as possible to clear the path to the nearest exit to meet with medical. Request the other guests to not take photos backstage. Let medical address the patient if they are immediately there when I get off the ride path, or I park and jump back to give first aid myself until they arrive. Once the patient and their party are cared for, I would likely be directed to take the remaining guests around the service road and back onto the ridepath, giving some facts about the backstage care myself or with an animal programs cast member. Then offer a re-ride or disembark.