Service Dogs are allowed, you simply are required to have a vest or a leash on the dog at all times so it can be identified as such.
I do not know their particular policies on service dogs but to my knowledge service dogs are allowed to go anywhere humans are allowed to go.
I would call them. The key deer come on the property so I'm assuming even if it's a service dog they would say no.
Thanks! Your answer is awaiting moderation.