I stayed there in June, but without a dog. Very nice place. No mini-refrigerators in room, though. The pool area is very nice and my kids loved the water slide. I would stay there again.
I would try Comfortinnlbv.com, its in the same general area on Palm Parkway(Sheraton Safari is on the corner of Rt 535 and Palm) they have packages for pets and packages for tickets included in the price of your room, which makes it easier. PLUS, they have micros and frigs in ALL rooms at no extra cost!