The farmer we hunt on, shot am 11 pt, gooooood mass, 18", with a .22 Hornet.
Didn't kill it with the first shot at all.
Finally killed it, down in a ravine.
He said is was a m/f getting it out of there.
On the flip side of that, when my Ruger 77/7mm Rem Mag barks,(proud to say that rifle has a 100% kill rate) the game I've aimed at is down, on the spot.
I do agree that a .243 is a better choice.
We always killed 'em dead with shotguns,(35 years with the scatter-guns) until they allowed rifles about 4 years ago.
Maybe a good beginers set-up would be an accurate single-shot 20 ga.?