The most popular with the cullers in S & SW is probably the .243 win. and second is the .308. They take mostly head and neck shots as the meat and hides are sold.

I would pick something in the .270 class or larger for sport hunting.

"When you disarm the people, you commence to offend them and show that you distrust them either through cowardice or lack of confidence, and both of these opinions generate hatred." Niccolo Machiavelli