Well, if it were me, and I was thinking about what I ought to carry while tooling about my property, considering the dangerous animals you mentioned ....
I'd be belting on one of my .44 Magnum revolvers, to hopefully give me time to get to my shotgun loaded with slugs, or my lever gun.
The newer .500 & .460 S&W Magnum wheelies are nice, as are the .454's, and certainly possess enough in the "Oomph" department, but the ammo is costly and the felt recoil can be somewhat stout.
As much as I like .44 Mag, and really miss my original Ruger auto .44 Mag carbine and my .444 Marlin (what was I thinking selling them??

) , I'd probably be inclined to stay with an actual rifle caliber in a lever gun. (Or, maybe I'd just like to come up with an excuse to buy a nifty .45-70 Marlin lever gun, like a "Guide Gun" model, to supplement my old 336C.

)
Whatever you may decide upon, it doesn't have to be fancy, as the problems you're talking about aren't exactly "new" or fancy. It just has to work for you, and work to best effect with your skillset ... and not break the bank or cause you any angst when the weather and other any other inclement conditions may work their eventual will upon the gun(s).
Luck to you. Best regards. Sounds like a nice bit or rural property to enjoy.