I'd go with a Savage Model 24 over-and-under, with a .22 on the top barrel and a 20-gauge shotgun on the bottom. Mount it with a 1.5x scope or a red-dot laser sight. A 20-gauge shotgun loaded with #4 buck will take care of big eastern coyotes, no problem, inside 40 yards. At longer distances, a rifled slug would help, but the Savage doesn't have a rifled shotgun barrel so accuracy will be basically in the bushel-basket range at 60 or 70 yards.
I hunted with handguns for years, including deer, but in a predator-execution scenario you typically won't have the time needed to get your handgun on-target, and your effective lethal range will be under 75 yards. For consistent lethality with a handgun, you'll also be shooting something with a lot more recoil than most people will be willing to absorb.
Handguns are basically for specialists. Or movies.
I hunted with handguns for years, including deer, but in a predator-execution scenario you typically won't have the time needed to get your handgun on-target, and your effective lethal range will be under 75 yards. For consistent lethality with a handgun, you'll also be shooting something with a lot more recoil than most people will be willing to absorb.
Handguns are basically for specialists. Or movies.