I am not all that literate on different caliber limits. Know lots more about bow hunting! I rifle hunt with a .30-06 Remington 700.
Not being literate or experienced, you have chosen well for yourself.
Will the 7mm-08, using off the shelf ammo (we don't reload) handle everything from antelope to an occasional elk
Absolutely! That would probably be the highest recommended by most on this forum, with few exceptions.
