Hey Bud,
I'm in high desert foothills a couple hundred miles south of you, and I hike in the National Forest back up behind the house all the time.
I'll tell you, amigo: I've
wanted to do as you suggest with the lightweight .22 (there's just something magical about a .22 - takes a fellow back to the excited innocence of youth

), but I've never been able to bring myself to do it (although I have on exactly one occasion gone for a not-too-far hike with nothing more than my Bowen-conversion .22 Magnum Bearcat). I keep getting sidetracked by the thought of, "Man, your friends are going to be awfully darned disappointed in you if
this turns out to be the time that you trip over a bear cub and irritate momma."
That said, on every single hike I've taken to date, a .22 LR handgun would have served my needs just fine.

Although there have been a few times when I've heard cougars screaming downhill in the canyon between me and the house at dusk - while I never had any issues at all, I'm sure I would have been kicking myself in the
tucchis if I'd only had a .22 along. (Though my cougar-hunt guide friend swears by the .22 Magnum for mountain lions.)
Anyhow, I suspect you would not suffer any problems from proceeding as you're considering, because - well, the wilderness is probably a lot safer than in "civilization". But you'll have to weigh the joy of carrying a light .22 against how bad you'd feel in the profoundly unlikely event that you find you
need something more. Myself, I've never been able to make it out the door with just the .22 LR.
cheers, amigo, and here's hoping that whatever you decide to do, it increases your enjoyment of life while spending fun time in the outdoors,
erich