1Glock, I'm gonna stick my neck out here and answer a little differently. I own both calibers in both short and long barrels and in small, medium, and large frames. Most everything involves some compromise, but if the most important thing to you is not absolute "hideability", especially in the woods, I'm gonna tell you that the best choice for you as a backup hunting gun in these calibers is a 4" framed .357 mag. It is no more trouble to be comfortable with a 4 incher than a 2, if you are using a good belt holster. It is not the barrel length that gives trouble (unless you get longer than 4"). It is the grip or butt size that really sticks out.
Now that they are making medium frame revolvers with a round butt, they are really easily carried, even concealed. I have a friend who recently bought a Taurus Tracker in .357, and I am mightily impressed with it, except for the porting in the barrel. Shoots really well, but I don't like ports. I am a Smith man, but I am very positively impressed with the new Taurus revolvers, without having used them extensively. You can obviously have the choice of 38s or mags, and the benefit of the extra weight and longer barrel make this choice much smarter for even limited hunting or hunting backup, IMO.
Of course, they are making some titanium and other alloy light frame mags these days, but they are not fun to shoot, and I am not sensitive. The regular 4 incher makes an excellent house gun, especially for a wife who will be able to easily understand and operate it, as opposed to the semi-auto. It also makes an excellent car gun, and you can make meat with the 38s in the woods (rabbits, squirrels, grouse, etc) or load up for more serious stuff. A cylinder full of more than one type of ammo is easily carried and used in the field. If you reload, there are many options for loads and loadings.
I have lots more reasons, but I have already written a book. You need to get something you like and will shoot, of course, but it takes a really dedicated shooter to do precision work with a fixed sighted snubbie. If you are close enough to stick the front sight in past the ribs, and give the weapon a quarter turn to the right to lock it in place, and then fire away, you can do some serious damage. If the distance is beyond 15 or 20 feet, that longer barrel and some decent adjustable sights become very important. I understand that you already have your regular "carry" gun in your Glock. That lets you have the option of picking a weapon to be a backup while hunting that makes more sense for that kind of use and is still a decent choice for defensive or other purposes, as well as being much more pleasant to shoot.
It is the regular disciplined shooting of any firearm, particularly handguns, that make them effective at all. Otherwise, a good smooth rock is easier to throw accurately!! So now you can take my opinion and a buck and buy a cuppa coffee at most cafes!!!!
