The Galaxy Drive-In
This place is super dog friendly. There are a couple items on the menu specifically for dogs... like a serving of dog treats and ice cream. The car hop service means you don't have to leave the car to order, eat or pay; but the grassy area around the Drive-In is perfect for a little exercise with your dog. There are likely going to be other dogs there to greet.
There is a water bowl amongst the sculptures, rocket car and smores fire pit that surround the place. I haven't been there other than during the day, but I am sure the fire pit is lit in the evenings.