Secret Flying has found airfares from Phoenix to Kigali, Rwanda, for only $815 round-trip. These are available for certain date pairs in April and May, 2018.
The airlines involved on this multi-stop itinerary are JetBlue and Qatar Airways.
I have a friend who visited a gorilla place in Rwanda and she was very positively impressed. She brought back some photos of the gorillas, taken at very close range.
See the details here.