IMO, when you throw in the word "price", all signs point to Ruger. Built like tanks, solid values. You really have to spend a lot more to get better.
As others have noted, I like my (480) Super Redhawk very much.
However, without question, it has been said MANY, MANY, times over by guys like Ross Seyfried, John Linebaugh, Hamilton Bowen, (and more) that the Bisley Blackhawk in 45 Colt, is the single best factory hunting revolver in existence. After owning one for well over a decade now, I happen to agree 110%.
I much prefer the old Colt, as do they, but a 44 mag isn't a bad thing either. Especially if you don't handload.
That said, if I could own only 1 factory made revolver for big game hunting, it would have to be this one (with a few slight modifications). Simply because it is the best of both worlds. Bisley Blackhawk Hunter:
For smaller game I am not as picky, and have 3 that I like. The Ruger Single 6 (sold mine) is still probably the best choice. I can like my 22/45 (above next to 480 SBH)) as well. And the Mark IIs and Buckmarks are fun as well. But I fell in love with this little Colt .22 Peacemaker:
The other is a 32 H&R Single Six that I tote around in the woods. It's LOTS of fun, and more potent that one may think. IIRC, my handloads hit 1100+ fps with 100 gr. bullets, and 1150 fps with 85 gr. pills........