I was a camp host this year and was alone with my dog the entire time. Unless you're managing multiple sites with a company vehicle, then they probably won't let you bring her in that vehicle. Mine wasn't allowed to ride of the golf cart. If you drive your own vehicle they can't stop you.
If I recall correctly, bob had a blog post about a year ago on host jobs, where he mentioned driving around to sites and kids getting excited to see his dog each time.