Well I actually got a chance to go shoot a bit yesterday although the north wind was a bit chilly.
One of my buddies at work has a .243 and a .308 that I was able to test out. Now either Im getting tougher in my old age or my .270 possibly did not fit me well at all.
Because Neither gun was harsh on my shoulder but I did like the reduced recoil of the .243 a little bit, it was a great difference but it was enough to notice.
With that being said, I would opt for any round with a varmant barrel and a good recoil pad that I could use for Hog-Deer- possibly coyotes at long distances......looking at that info is the 25-06 the viable choice because it's a flat shooter (will it still punch a hogs shoulder) or would it be the 7mm-08?

Hmmm after looking at some manufacturers sights it looks like heavy barrels are usually not offered in these calibers.