I'll agree with you on the Jeffery .333 NE David. I have a neat little Jeffery double that is set up for flanged but, with a simple included ejector change, can shoot rimless rounds. Several pigs have been the victim of that rifle and I'm pretty sure that at 21-2400 f/s and 31-3200 ft lbs it should work well on just about any NA game. The guys at Stars and Stripes Ammo in Florida load for me at a reasonable cost.

Just one man's experience and I'm sure there are many more that would work well for you. Just didn't want David to feel left out!