I am a big proponent of .25 caliber. I built my first .25 back in the early 60"s. It was called a .25 Neider which later became the 25-06. I have shot somewhere in the neighborhood of 100 animals with it (about 50 deer/50 antelope) and lots of feral hogs and have NEVERfelt undergunned. I also have a .257 Wby. Never used it on elk , but will use it on sheep if I can ever get drawn for a tag. As with any caliber, shot placement is the most important concern.
I also shoot left handed and have tried almost everything out there (Win M100, M88, BAR, Rem pump) that was not a bolt action. All of them just don't seem to shoot as well....at least for me and my expectations. I started out with a normal right handed bolt when I was 12 and still shoot them 60 years later. I guess it's all in what you get used to.