What do you know about Batavia dog park? It's a pretty chill dog park, an acre or two fenced in and then a nearby man-made pond dogs can swim in.  You have to walk by the baseball and softballs fields so maybe a quarter mile to get to the dog area.  Or you can go the back route by the frisbee golf course.  It is not a very heavily used frisbee golf course and people have been known to take their dogs off-leash traipsing about the course.  BUT we are immensely grateful to have a welcoming dog park and respect other users by leashing our dogs if other people are around and always cleaning up after.