I haven't done any hunting in SoCal - seems like the back country is too impacted as it is, but long ago and far away, I was a bow hunter.
Compounds can be fairly heavy from a UL standpoint (though less than rifles!); recurve or stick bows are significantly lighter. A break-down recurve or stick bow will be easier to pack.
For the game you mention, I've used blunts and judo points, with flu-flu fletching. Zwickey judo points do tear the critter up a bit, but tend to stick up out of the grass/brush if you miss, making them easier to find. I prefer a hard rubber blunt like this:
Flu-flu fletching will keep an arrow shot at a grouse in a tree from flying to the next county!
And of course you realize that hunting, even for small game, will take time, and thus is seldom appropriate for hikes where you want to do big miles. And spare yourself some trouble by getting well off trail so you don't offend the sensibilities of others.