Hopefully Lauren who gave a post above will return and give you his answer. He has a dog.
You should probably call the park and ask about their rules for dogs. If there's no rule about walking your dog that you don't have to worry about it. I did notice on their map a place marked at the edge of the park as a 'dog area'. This park has a lot of permanent Park Models in it and sometimes folks aren't as 'relaxed' about things as in other campgrounds. There are always residents who complain. Hope it works for you.
http://www.phoenixrvresorts.com/assets/images/parkmap.pdf
