Absolutely and always...especially in the woods. Before I became a cop, I always carried in the woods. Once I got a CHL, I carried everywhere I can, and now that I'm a cop, carry everywhere all the time.
Someone mentioned a 357 snubby. Let me mention this to everyone. Take a close look at the Smith & Wesson 22mag snubby.
Here is one of their offerings:
http://www.smith-wesson.com/webapp/wcs/stores/servlet/Product4_750001_750051_764925_-1_757767_757751_757751_ProductDisplayErrorView_Y
Why 22 magnum? Easy. It is a rifle round. It has speeds faster than most pistol calibers, is heavier than a 22lr, and there is NO noticeable recoil. Seven shots as fast as you can pull the trigger. And, the fireball leaving the muzzle is enough to scare nearly anything.
I always figured if I were carrying my P22 (22 lr) or a 22mag...if I needed to use it, I would empty the 10 of the P22 or the 7 of the mag and then we could still fight if they want to