I have always thought a 180 is the best bet in a 3-5-7, but in a very short barrel maybe a 158-160 grain might be more better. ?? From my3" security six, (or 2.75" I forget) the 180 does penetrate more through wet hardwood.
I don't archery hunt much anymore, but when hiking/exploring I like to carry a bow. I have a lot of faith in a good sharp broadhead, on a heavy arrow, out of a powerful bow. And a bow is so light, literally just carrying a stick. But when I do that, I usually carry a heavier pistol, my Lyman Plains Pistol being my choice most often lately, which is around 40 ounces.
Just hiking/exploring with no bow or rifle, other than my Little Badger, I'll go with a .44mag, or my El Patron in .45Colt. I have cat, bear, and grizz in my stomping grounds. But the only cat I've seen is one I shot, and the black bears won't let me get close to them, other than Sows with cubs. I've not run into grizz yet, (other than backpacking in Montana) but I've sure seen some giant grizz tracks where I hunt. Last time I got between Mama bear and her cub, I had my best bow, and the Plains Pistol, and I thought for sure she was going to come for me, really thought "this is it". But she looked me over a bit, then turned and ran, left the cub up in the tree. Must have smelled me, and figured anyone who smelled that bad, must already be dead. Or something.
Anytime I'm packing a good rifle, be it muzzle loader, Winchester, or Springfield, my Remington Navy .36 usually goes along for the ride.