My second gun for my SA trip was a Redhawk 44 Mag. Topped with a B&L 4x scope. It was a good open country option had my Contender broke down. I removed the scope when I got there and carried on my belt with iron sights. Since you are not a scope guy I suggest a no gunsmith mount with a red dot. I think the rational on the SA end is that you are bringing hunting guns not military or defense weapons. The SA police check serial numbers against your paperwork and look at the guns. Your only issues are in the airport or cities. While hunting iron sights should be fine.
"Therefore go and make disciples of all nations,... "
Handgun hunter since 1979 - haven't used a rifle since!
HHI member #992, NRA, SCI.