Coyotes, wolves, armadillos, skunks, possums, wild pigs (our area is over run and fighting wild pigs right now)......... for all of these .... you use whatever rifle you are the most accurate with.
Been looking at semi big bore pellet guns. These things Wil. Take down cape Buffalo, large pigs, bison, bears etc. Even the .25 cal pellet rifles can take down big bores
Best thing is they are unregulated, and you can buy them right over the net too. Ammo is cheap, sort of.
Check out some of the vids on YouTube for “big bore air rifles”, pretty powerful little guns. I never even knew they existed till this last year lol