I used both terms. 1 or both may have been used incorrectly. Thats also why im here to find out which would be the easier way to go. Id assume getting a 270 or 3006 would be the way to go and slap a new barrel on it. Or whatever its gonna take. Id also assume that would involve the least amount of money.
New barrel will likely make you happier. You're going to have a cartridge to challenge the XXXLoudenBOOMER!
Even if/when you miss, any coyotes within a mile will likely surrender - my pal, Mike B built one many years ago now - one winter day, I dropped him off at a abandoned farmstead on the west end of a 2-mile X 1-mile section, so he could slip in and call a pair of coyotes he'd observed hanging around.
I drove to the 1/2 mile line East of the drop, thus was also 1/2 mile North, and backed into a field entrance to observe. It was about -10 Deg. F, so I left the engine & heater running . . . as directed, the coyotes promptly responded to Mike's squalling (which I could not hear). No sooner did the first critter stop, than he did an instant act of DRT, followed a second or so later, by the THUNDEROUS ka-bOOM
of the CatBird! Turned out, the coyote wasn't faking.
The following spring, we were in SD (aka Forbidden Zone) shooting defenseless prairie dogs. During Mike's turn at the bench, using his trusty .22/250 and .223, he dispatched a healthy quantity of the vermin at a high hit:miss ratio . . . he grew somewhat bored and broke out the CatBird . . . I was sitting about 2 feet to Mike's left, peering through the spotting scope, calling wind/hits/misses, comfortably having my left foot resting over the right knee, with the boot sole parallel to the muzzle . . . the initial CatBird blast knocked the foot loose and I was certain that Mike had shot my foot off!

Fortunately, though it required some convincing, Mike was correct - he advised that perhaps I should move over another yard or two!
You will enjoy it while it lasts . . . and have tales to share later! RG