Don't bother.
... and a Swiss Army knife (with saw)
Just out of curiosity, how would the saw be useful? If push came to shove, anything I could cut with that saw I could break with my hands, across a knee, or in the crook of a tree. Or I could chop or baton it with my knife.
I always have a Leatherman tool with me, and most models I carry come with a saw. A few of the SAK's I own also have a saw. I think the only thing I've used it for is cutting off a branch to use to roast hot dogs and marshmallows. Unfortunately, I don't carry either hot dogs or marshmallows in my survival kit.
