For any of those sheep hunts which cost an amazing amount of money and sometimes involves longer shots and angle shooting, I would use my XP-100 or MOA without hesitation.
A single-shot specialty pistol put together correctly is as accurate as an bench gun and is still more compact or field worthy.
For bear I would have both a Freedom Arms revolver and a SS pistol.
Two one-shot attempts at 775 yards (one shot per person). No wind flags or sighter shots before that, and both of us were shooting from the prone position
This was Jody's first shot from a SP. He was one of the assistant instructors at a LR shooting school I teach at.
Wind was somewhere between 8-10 mph. Can't remember exactly right now.
The XP is chambered in 7mm SAUM (Short Action Ultra Mag). 162 A-max at 2759 fps.
When I had some free time when the students were on solo mode I was able to do some shooting between 400 to just under 900 yards during the 2 different four-day classes. Most of the targets I engaged were 10"x16", but we did have two large humanoid targets like the one in the pic above.
I was not trying hit the large humanoid target, but the heart was my goal.
I was fortunate while I was there, because I never missed steel one time at the distances mentioned.
I wish I could say this is always the case, but it is not so.
If you think I am telling a tall-tell, we had 7 students the first class and 10 the second, plus Darrell Holland (Holland Shooting Supply
http://www.hollandguns.com/ ) and some other assistant instructors.
All of the students were shooting rifles, but when I am there Darrell opens up the school to SP shooters as well.
The other specialty handgun I shot was a MOA Maximum, chambered in 7mmRem Mag Improved, shooting 180 grain JLK's at 2685 fps.
Now I can't shoot off-hand or quite as fast even from the prone position as a rifleman at longer distances. I will not shoot at a running animal either.
But in terms of accuracy and power, A specialty pistol hunter does not have to give up anything to a rifleman, if they are willing to dedicate themselves.