I have both 4" and longer guns (6-1/2, 7-1/2, 8-3/8 and 9-1/2). While the sight radius makes a difference in accuracy (of the shooter, not the gun), those longer barreled ones are heavier. If the gun is a back up piece for hunting then go with the shorter barrel. My favorite for that purpose is my S&W 44 Mag Mountain Gun (same as the standard 629 with a 4" tapered barrel and shortened underlug to cut about 5 oz of weight). It's easy to carry, powerful enough for most problems, and very accurate. I also have an Alaskan in 454 Casull, with a 2-3/8" barrel; great for big bears but a bit trickier at distance.
If the revolver is your primary hunting piece then go with the longer barrels. I've two SRHs, one in 44Mag with 7-1/2" and the other in 480 Ruger with 9-1/2". Both superb hunters and light enough to pack. Both are also suitable for scopes but I've not (yet) gone that way.
Thus, regardless of the caliber a longer barrel is better (within reason) for hunting, and a shorter one for secondary or defensive weapons. Either are great on the range. I'm not a 357 guy, but if I were I'd buy the S&W Model 686P, 7-shot cylinder and 4" barrel. Fantastic design and it gets great reviews. I'm not voting against the 6" barrel, just that I already have 4 long barrel guns and a 357 is a carry piece. I'd also consider the Air-lite series if it's strictly a carry gun for felonious humans.