We initially encountered him trapped underneath the rainfly of our tent. I pulled back the rainfly (after grabbing my camera of course) and he was free to move around.
I picked him up from here to move him:
Next I moved him onto a nearby bush that he closely resembled:
We also came upon a large spider while we were walking on one of the trails. I just did a little research with Google Image Search and discovered it's a Marbled Orb Weaver spider: