i know that if i was fleeing for my life i would flee the place i feared as fast and easy as possible. uganda being a land locked country crossing a land border would be the ideal choice for me. it would only take you a few hours (less than that in many cases from the looks of how small the country is) to be out of the country.
flying out requires a plane ticket. as we all know taking a plane out of airports internationally is quite speedy now a days.